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 10 Page 245

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

Answer: 25%
Model:

Practice makes perfect

We want to find what percent of 40 is 10 by using a model. We can split the model into intervals of 10. There are 4 such intervals in 40, so each of them represents 25%. Let's find what percent of 40 is 10!

We found that 10 is 25 % of 40.

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 10 of 40 is by thinking about 10 as the part of a whole and 40 as the whole. Let's substitute a= 10 and w= 40 into the formula and solve for p using the Properties of Equality.
a/w=p/100
10/40=p/100
Solve for p
10/40* 100=p/100 * 100
10/40* 100=p
10* 100/40=p
1000/40=p
25=p
p= 25
Knowing the value of p, let's look at the completed percent proportion. 10/40=25/100