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

2. The Percent Proportion

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Exercise 21 Page 245

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

0.16

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 0.4% of 40 is by thinking about 0.4 as the percent and 40 as the whole. Let's substitute p= 0.4 and w= 40 into the formula and solve for a using the Properties of Equality.

a/w=p/100

SubstituteII

p= 0.4, w= 40

a/40=0.4/100

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Solve for a

MultEqn

LHS * 40=RHS* 40

a/40* 40=0.4/100 * 40

FracMultDenomToNumber

a/40* 40 = a

a=0.4/100 * 40