Big Ideas Math: Modeling Real Life, Grade 7
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2. The Percent Proportion
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Exercise 7 Page 243

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

45 %

Practice makes perfect

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/100We can find what percent 54 of 120 is by thinking about 54 as the part of a whole and 120 as the whole. Let's substitute a= 54 and w= 120 into the formula and solve for p using the Properties of Equality.

a/w=p/100
54/120=p/100
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Solve for p
54/120* 100=p/100 * 100
54/120* 100=p
54* 100/120=p
5400/120=p
45=p
p= 45

Knowing the value of p, let's look at the completed percent proportion. 54/120=45/100 We found that 54 is 45 % of 120.

Checking Our Answer

Checking Our Answer
We can use a model to check our answer.