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Would you rather….
Have a 30 acre crop
planted with
seeds the carry a
58% survival
rate
Have 50 acre crop planted with seeds that carry a 38% survival rate
http://www.youtube.com/watch?v=hQ5lk735-Fk
6.1-6.4 JEOPARDY!
• YOU MAY USE YOUR CALCULATOR, NOTES, AND THE BOOK TO ASSIST YOU
• SHOW ALL WORK AS YOU GO• MARK PROBLEMS THAT WERE
MOST CHALLENGING FOR YOU• GO BACK AND STUDY THOSE
PROBLEMS TONIGHT
6.1 6.2 6.3 6.4
$100 $100 $100 $100
$200 $200 $200 $200
$300 $300 $300 $300
$400 $400 $400 $400
$500 $500 $500 $500
6.1 $100
6.1 $100 answer
Set up proportionAlways out of 100%
Use cross products300 = 8X
Divide by 8
Answer: 37.5%
Numbers Percent
Part 3 xTotal 8 100%
6.1 $200
20% as a fraction
6.1 $200, answer
We know the total is always out of 100%.
Simplify. Divide by 20/ 20
20/20 is the same as one whole
20%100%
20% ÷20=
1
100%÷20=
5
6.1 $300
Convert the fraction to a decimal
3 7
6.1 $300, answer
The − sign means divide
Round to the nearest hundreth or thousandth
Answer: .43 or .429
3 ÷ 7 =
3 7
6.1 $400
Put in order from least to greatest:
245%, ⅘, 66%, .133
6.1 $400, answer
.133 = 13.3%
Choose one form to put all the number in. I chose percents since there are already 2 of them.
Use proportions and cross products.
⅘ = 80%
Decimal %
Multiply by 100
Numbers %
Part 4 x
Total 5 100%
Original
245% ⅘ 66% .133
Percents
245% 80% 66% 13.3%
Answer:
4 3 2 1
6.1 $500
About 342,000 km2 of Greenland’s total area (2,175,000 km2) is not covered with ice. To the nearest percent, what percent of Greenland’s total area is not covered with ice?
6.1 $500, answer
km2 %
Not covered in Ice
342,000 km2 xTotal area 2,175,000 km2 100%
Write and label a proportion. The total is always out of 100%.
Answer: 16%
Use cross products to solve
342,000 (100) = 2,175,000x
6.2 $100
Shannon’s printing company has determined that approximately 6% of the books it prints have errors.
Out of a printing run of 2050 books, Lexi, the production manager estimates that 250 books have errors. Estimate to see if Lexi’s number is reasonable.
Explain.
6.2 $100, answer
6% 2050 ≈ 5% 2000 Estimate and use easy numbers.
≈ 0.05 2000 Write 5% as a decimal.
Multiply. ≈ 100
Answer: Lexi’s number is not reasonable. Only about 100 books have errors. 250 is much greater than 100.
6.2 $200
Estimate:
113% of 80
6.2 $200, answer
Estimate 113%
113% is close to 110%
Break into %’s you can calculate mentally:
100% + 10%
113% ≈110%
100% of 80 = 80
Answer: 80 + 8 = 88
10% of 80 = 8
6.2 $300
Estimate:
34% of 12
6.2 $300,answer
What is 34% close to?
34% ≈ 33⅓ %
33⅓% = ⅓
⅓ of 12
Answer: 4
6.2 $400
Ian had dinner with some
friends at a restaurant. The
check for his dinner was
$10.25. If he wants to leave
close to a 20% tip, about
amount Ian should pay?
6.2 $400, answer
Break down 20% to easier %’s
10% + 10% = 20%
Add the price of food + tip
10% of $10.25 ≈$1
Another 10% ≈ $1
$10.25 + $1 + $1=
Possible answer: $12.25
6.2 $500
Approximately 8% of each batch of
jeans produced at Jack’s factory is
defective. Rishi said that in a batch
of 400 jeans, about 35 jeans would
be defective. Estimate to determine
if his number is reasonable. Explain.
6.2 $500, answer
Yes, because 8% of 400 is a little less than 10% of 400. 10% of 400 is 40, and 35 is a little less than 40.
Round 8% to 10%
Calculate 10% of 400
Compare to 35
8% ≈ 10%
10% of 400 = 40
40 ≈ 35
6.3 $100
What percent of 33 is 22?
6.3 $100, answer
Answer: 66⅔ %
Set up proportion
Use cross products to solve
Divide by 33
# %Part/ Is 22 x
Total/ Of 33 100%
22(100) = 33 X
6.3 $200
Of Earth’s 197 million mi2 of surface area, about 139 million mi2 is water. Find the percent of Earth’s surface that is covered by water.
6.3 $200, answer
Answer: 70.6%
Set up proportion
Use cross products to solve
Divide by l97 to isolate x
# %
Part (water)
139 million mi2
x
Whole (total)
197 million mi2
100%
139 million (100) = 197 million (x)
6.3 $300
Four friends volunteered to cut the grass around their neighbor’s house. Naja cut 23% of the grass, Diego cut 1/5 of the grass, Michael cut 0.31 of the grass, and Max cut the rest. What percent of the grass did Max cut?
6.3 $300, answer
100% -23% - 20% -31% = X
100%-74%= X
26% = x
Naja Diego Michael
Max
Amount
23% 1/5 .31 x
Make all %
23% 20% 31% x
6.3 $400
Irie organizes her music collection by genre. ½ of her collection is rock, 0.125 is pop, 6% is classical, 9.5% is country, and the rest of her collection are jazz. What percent of her CD collection is jazz?
6.3 $400, answer
Convert all amounts to %
Add up all % and subtract from 100%
Answer: 22% jazz
Type of Music
Rock Pop Classical
Country
Jazz
Amount 1/2 .125 6% 9.5% x
100% 50% 12.5%
6% 9.5% x
6.3 $500
After a drought, a river had only 50⅔ % of the average amount of water flow. If the average amount of water flow is 60,000,000 gallons per day, how much water was flowing in the river after the drought?
6.3 $500, Answer
1. Set up proportion.2. Convert 50⅔ % to a decimal• ⅔ ≈ .666666 ≈.67• 50⅔ % ≈ 50.67
3. Use Cross Products to Solve• Divide by 100
Answer: 30,400,200 gallons of water after the drought
% # of gallons
Part 50⅔ % x
Whole 100% 60,000,000
6.4 $100
Sophie earned 95% on a test by answering 19 questions correctly. If each question was worth the same amount, how many questions were on the test?
6.4 $100, Answer
# %
Is 19 problems 85%
Of X 100%
• Set up proportion
• Use cross products to solve
• Divide by 85% to isolate x
Answer: 20
6.4 $200
When a giraffe is born, it is approximately 55% as tall as it will be as an adult. If a baby giraffe is 5.2 feet tall when it is born, how tall will it be when it is full grown, to the nearest tenth of a foot?
6.4 $200, Answer
# Feet %
Is 5.2 feet 55%
Of X 100%
• Set up proportion
• Use cross products to solve
• Divide by 55% to isolate X
• Round to nearest tenth
Answer: 9.5 feet
6.4 $300
Jayden and Nate caught a fish that weighed 15.5 lb. This was 85% of the weight of the largest fish that they had ever caught. What was the weight, to the nearest tenth of a pound, of the largest fish that Jayden and Nate had ever caught?
6.4 $300, Answer
# Pounds %
Fish just cauth
15.5 pounds 85%
Largest fish
X 100%
• Set up proportion
• Use cross products to solve
• Divide by 85% to isolate X
• Round to nearest tenth
Answer: 18.2 pounds
6.4 $400
Tiffany read 4 novels written by Veronica Roth. This represents 20% of the books she read this school year. How many books did Tiffany read in all?
6.4 $400, Answer
# books %Veronica Roth novels
4 20%
Total books Read
X 100%
• Set up proportion
• Use cross products to solve
• Divide by 20% to isolate X
Answer: 20 books read
6.4 $500
60 is 12% of what number?
6.4 $500, Answer
# %is 60 12%
of X 100%
• Set up proportion
• Use cross products to solve
• Divide by 12% to isolate X
Answer: 500