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 11 Page 245

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

Answer: 50
Model:

Practice makes perfect

We want to find what number's 30% is 15 by using a model. We can split the model into intervals of 10%. There are 10 such intervals in 100%. Since 30=10* 3, we can represent 30% by three such intervals. Let's find what number's 30% is 15!

We found that 15 is 30 % 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 number's 30% is 15 by thinking about 30 as the percent and 15 as a part of the whole. Let's substitute a= 15 and p= 30 into the formula and solve for w using the Properties of Equality.
a/w=p/100
15/w=30/100
Solve for p
15/w* w=30/100 * w
15=30/100 * w
15=30w/100
15* 100=30w/100* 100
15* 100=30w
1500=30w
1500/30=w
50=w
w= 50
Knowing the value of w, let's look at the completed percent proportion. 15/50=30/100