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

3. The Percent Equation

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Exercise 14 Page 251

The percent equation is an equation in which the part is equal to the product of the corresponding percent and the whole.

75 %

Practice makes perfect

The percent equation is an equation in which the part is equal to the product of the corresponding percent and the whole. We can represent a is p percent of wwith the following equation. a= p% * wWe can find what percent of 60 is equal to 45 by substituting a= 45 and w= 60 into the formula and solve for p% using the Properties of Equality.

a= p% * w

SubstituteII

a= 45, w= 60

45= p% * 60

▼

Solve for p%

DivEqn

.LHS /60.=.RHS /60.

45/60=p% * 60/60

CancelCommonFac

Cancel out common factors

45/60=p% * 60/60