Exercise 19 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 300 is equal to 51 by substituting a= 51 and w= 300 into the formula and solve for p% using the Properties of Equality.

a= p% * w

SubstituteII

a= 51, w= 300

51= p% * 300

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Solve for p%

DivEqn

.LHS /300.=.RHS /300.

51/300=p% * 300/300

CancelCommonFac

Cancel out common factors

51/300=p% * 300/300

SimpQuot

Simplify quotient

51/300=p%

CalcQuot

Calculate quotient

0.17=p%

RearrangeEqn

Rearrange equation

p%= 0.17

Since 0.17 equals 17%, we can complete percent equation. 51= 17% * 300 We found that 51 is 17 % of 300.