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. 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

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Solve for p%

DivEqn

.LHS /60.=.RHS /60.

45/60=p% * 60/60

CancelCommonFac

Cancel out common factors

45/60=p% * 60/60

SimpQuot

Simplify quotient

45/60=p%

CalcQuot

Calculate quotient

0.75=p%

RearrangeEqn

Rearrange equation

p%= 0.75

Since 0.75 equals 75%, we can complete percent equation. 45= 75% * 60 We found that 45 is 75 % of 60.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.