Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a...
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Transcript of Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a...
![Page 1: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/1.jpg)
Pamela Leutwyler
![Page 2: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/2.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
![Page 3: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/3.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
![Page 4: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/4.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
![Page 5: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/5.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
![Page 6: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/6.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
![Page 7: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/7.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
![Page 8: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/8.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
![Page 9: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/9.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
![Page 10: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/10.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
![Page 11: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/11.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
a + c = 35
![Page 12: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/12.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
a + c = 35
a + b + c + d + 11 = 100
a + b + c + d = 89
![Page 13: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/13.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
a + c = 35
a + b + c + d = 89
![Page 14: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/14.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
a + c = 35
a + b + c + d = 89
![Page 15: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/15.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40 d = 40 – a
a + b = 50 b = 50 – a
a + c = 35 c = 35 – a
a + b + c + d = 89
![Page 16: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/16.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40 d = 40 – a
a + b = 50 b = 50 – a
a + c = 35 c = 35 – a
a + b + c + d = 89 a + 50 – a + 35 – a + 40 – a = 89
a = 18
![Page 17: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/17.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 18: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/18.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
ab
c
d
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 19: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/19.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
18b
c
d
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 20: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/20.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
18b
c
d
a + d = 40d = 22a + b = 50
a + c = 35
a = 18
![Page 21: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/21.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
18b
c
22
a + d = 40d = 22a + b = 50
a + c = 35
a = 18
![Page 22: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/22.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
18b=32
c
22
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 23: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/23.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
c
22
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 24: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/24.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
c=17
22
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 25: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/25.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
22
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 26: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/26.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
22
a + d = 40
a + b = 50
a + c = 35
a = 18
![Page 27: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/27.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
a + d = 40
a + b = 50
a + c = 35
a = 18
22
![Page 28: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/28.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
a + d = 40
a + b = 50
a + c = 35
a = 18
22
J
![Page 29: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/29.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
a + d = 40
a + b = 50
a + c = 35
a = 18
22
J
913
11+17+32+18+9=87
![Page 30: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/30.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
a + d = 40
a + b = 50
a + c = 35
a = 18
J
913
![Page 31: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/31.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H B
C
0
0
0
11
1832
17
a + d = 40
a + b = 50
a + c = 35
a = 18
J
913
27
![Page 32: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/32.jpg)
Here is a different way to do The same problem:
![Page 33: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/33.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
![Page 34: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/34.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B' if B H = U
then B' H' =
![Page 35: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/35.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
H'B'
C'
C'
or
?
![Page 36: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/36.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
H'B'
C'
C'
or
11
![Page 37: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/37.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
C'
11
![Page 38: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/38.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
C'
11
![Page 39: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/39.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
C'
11
If H J thenJ H
J
![Page 40: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/40.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
C'
11 J 13
13 do not have jobs.
![Page 41: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/41.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
H'B'
C'
11 J13
p
q r
s
![Page 42: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/42.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
J13
r
s
H'B'
C'
p
q
11
r+s+13=40 r + s = 27
![Page 43: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/43.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
r
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
![Page 44: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/44.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
r
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
![Page 45: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/45.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
r
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
r + q = 35
![Page 46: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/46.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
r
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
r + q = 35
p + q + r + s + 11 = 87
p + q + r + s = 76
![Page 47: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/47.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
r
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
r + q = 35
p + q + r + s = 76
![Page 48: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/48.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
r
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
r + q = 35
p + q + r + s = 76 50 – r + 35 – r + r + 27 – r = 76 112 – 2r = 76 r = 18
![Page 49: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/49.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
18
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
r + q = 35
p + q + r + s = 76 50 – r + 35 – r + r + 27 – r = 76 112 – 2r = 76 r = 18
![Page 50: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/50.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
18
B'
C'
p
q
11
r + s = 27
J13s
H'r + p = 50
r + q = 35
p + q + r + s = 76 50 – r + 35 – r + r + 27 – r = 76 112 – 2r = 76 r = 18
![Page 51: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/51.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
18
B'
C'
p=32
q=17
11 J13s=9
H'
p + q + r + s = 76 50 – r + 35 – r + r + 27 – r = 76 112 – 2r = 76 r = 18
r + s = 27
r + p = 50 r + q = 35
![Page 52: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/52.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car?_________
18
B'
C'
32
17
11 J139
H'
![Page 53: Pamela Leutwyler. There are 100 people at a party. Everyone owns a house or a boat. Everyone owns a house or a car. 11 own neither a car nor a boat. All.](https://reader036.fdocuments.us/reader036/viewer/2022062518/5697bf741a28abf838c7f81b/html5/thumbnails/53.jpg)
There are 100 people at a party. Everyone owns a house or a boat.Everyone owns a house or a car. 11 own neither a car nor a boat.All of the homeowners have jobs. 87 have jobs. 40 have a car and a boat. 50 have a house and a car. 35 have a house and a boat.
How many have a job, a boat, and a car? 27
18
B'
C'
32
17
11 J139
H'