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

3. The Percent Equation

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Exercise 1 Page 251

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

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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 number's 30% is 9 by thinking about 30 as the percent and 9 as a part of the whole. Let's substitute a= 9 and p= 30 into the formula and solve for w using the Properties of Equality.

a/w=p/100

SubstituteII

a= 9, p= 30

9/w=30/100

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Solve for p

MultEqn

LHS * w=RHS* w

9/w* w=30/100 * w

FracMultDenomToNumber

a/w* w = a

9=30/100 * w