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Big Ideas Math: Modeling Real Life, Grade 7 View details

2. The Percent Proportion

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Exercise 20 Page 245

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

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 110% of 90 is by thinking about 110 as the percent and 90 as the whole. Let's substitute p= 110 and w= 90 into the formula and solve for a using the Properties of Equality.

a/w=p/100

SubstituteII

p= 110, w= 90

a/90=110/100

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Solve for a

MultEqn

LHS * 90=RHS* 90

a/90* 90=110/100 * 90

FracMultDenomToNumber

a/90* 90 = a

a=110/100 * 90