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

3. The Percent Equation

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Exercise 4 Page 251

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 120% of 80 is by thinking about 120 as the percent and 80 as the whole. Let's substitute p= 120 and w= 80 into the formula and solve for a using the Properties of Equality.

a/w=p/100

SubstituteII

p= 120, w= 80

a/80=120/100

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Solve for a

MultEqn

LHS * 80=RHS* 80

a/80* 80=120/100 * 80

FracMultDenomToNumber

a/80* 80 = a

a=120/100 * 80