Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8...
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Transcript of Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8...
![Page 1: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/1.jpg)
Solve each proportion.
1. 2.
3. 4.
c6
1215
= 2112
7y
=
3 + x7
48
= 2 + xx – 4
2535
=
4.8 4
12
–17
Math on the Mind
![Page 2: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/2.jpg)
PercentsUnit 4, Lesson 11Mrs. King
Picture from hoffnermath.wordpress.com
![Page 3: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/3.jpg)
Let’s refresh our memory:
•http://www.brainpop.com/math/ratioproportionandpercent/percents/preview.weml
![Page 4: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/4.jpg)
What does percent mean?
•“per” means out of•“cent” means 100
▫How many years in a “century”?▫How many “cents” in a dollar?▫How many legs on a “centipede”?
![Page 5: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/5.jpg)
Converting Percents to Decimals•To change a percent to a decimal, drop
the % sign and move the decimal point 2 places to the left
www.thericeschool.org
![Page 6: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/6.jpg)
Convert each percent to a decimal:
▫17%
▫5%
▫23%
▫236%
▫8%
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0.1
70.05
0.23
2.36
0.08
![Page 7: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/7.jpg)
Converting Decimals to Percents
•To change a decimal to a percent, move the decimal point 2 places to the right and attach a % sign.
www.thericeschool.org
![Page 8: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/8.jpg)
Convert the decimal to a percent:
▫.08 =
▫3.26 =
▫.75 =
www.thericeschool.org
8%
326%
75
%
![Page 9: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/9.jpg)
Change to a
Decimal
Calculating Percents: The Equation Method
How much is 11% of $400?
The unknow
n!
The unknow
n!
“Equals”
“Equals”Change
to a decimal
“Multiply”
“Multiply”
$400
$400
x 11.0 40044x
![Page 10: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/10.jpg)
Example #1
•15% of 650 is what number?
15. 650 xx5.97
![Page 11: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/11.jpg)
Example #2
•What is 12% of 250?
x 12. 25030x
![Page 12: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/12.jpg)
Proportions to remember!
whole
partpercent
100 of
ispercent
100
![Page 13: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/13.jpg)
Calculating Percents: The Proportion Method
How much is 11% of $400?
of
ispercent
100
400100
11 x
x1004400
x44
![Page 14: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/14.jpg)
Example #3
•15% of 650 is what number?
of
ispercent
100
650100
15 x
x1009750
x50.97
![Page 15: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/15.jpg)
Example #4
•What is 12% of 250?
of
ispercent
100
250100
12 x
x1003000
x30
![Page 16: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/16.jpg)
Percentage Problems•15 is what percent of 50?
•16 is 22% of what number?
www.thericeschool.org
![Page 17: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/17.jpg)
Percentage Problems•91 is what percent of 364?
•What is 9.5% of 75,000?
www.thericeschool.org
![Page 18: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/18.jpg)
Try these on your own:• 42 is what percent of
112?
• What percent of 38 is 19?
• What is 0.5% of 2350?
• http://www.quia.com/mc/499417.html
![Page 19: Solve each proportion. 1.2. 3.4. c6c6 12 15 = 21 12 7y7y = 3 + x 7 4848 = 2 + x x – 4 25 35 = 4.8 4 1212 –17 Math on the Mind.](https://reader035.fdocuments.us/reader035/viewer/2022071808/56649eef5503460f94bff3e3/html5/thumbnails/19.jpg)
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