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 13 Page 245

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

Answer: 40%
Model:

Practice makes perfect

We want to find what percent of 50 is 20 by using a model. We can split the model into intervals of 10. There are 10 such intervals in 50, so each of them represents 10%. Let's find what percent of 50 is 20!

We found that 20 is 40 % of 50.

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 percent 20 of 50 is by thinking about 20 as the part of a whole and 45 as the whole. Let's substitute a= 20 and w= 50 into the formula and solve for p using the Properties of Equality.
a/w=p/100
20/50=p/100
Solve for p
20/50* 100=p/100 * 100
20/50* 100=p
20* 100/50=p
2000/50=p
40=p
p= 40
Knowing the value of p, let's look at the completed percent proportion. 20/50=40/100