Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
2. The Percent Proportion
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Exercise 9 Page 245

The percent proportion is a proportion that equates a part of a whole to a percent out of 100.

Answer: 16
Model:

Practice makes perfect

We want to find the number which is 20% of 80 by using a model. We can split the model into 20% intervals. There are 5 such intervals in 100%, which represents the whole 80. Let's find 20% of 80!

We found that 16 is 20 % of 80.

Checking Our Answer

We can check our answer by solving the percent proportion. The percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100. We can represent a is p percent of wwith the given proportion. part/whole=percent/100 ⇔ a/w=p/100 We can find what 20% of 80 is by thinking about 20 as the percent and 80 as the whole. Let's substitute p= 20 and w= 80 into the formula and solve for a using the Properties of Equality.
a/w=p/100
a/80=20/100
Solve for a
a/80* 80=20/100 * 80
a=20/100 * 80
a=20* 80/100
a=1600/100
a= 16
Knowing the value of a, let's look at the completed percent proportion. 16/80=20/100