Exercise 27 Page 246

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 35.5% is 14.2 by thinking about 35.5 as the percent and 14.2 as a part of the whole. Let's substitute a= 14.2 and p= 35.5 into the formula and solve for w using the Properties of Equality.

a/w=p/100

SubstituteII

a= 14.2, p= 35.5

14.2/w=35.5/100

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Solve for p

MultEqn

LHS * w=RHS* w

14.2/w* w=35.5/100 * w

FracMultDenomToNumber

a/w* w = a

14.2=35.5/100 * w

MoveRightFacToNum

a/c* b = a* b/c

14.2=35.5w/100

MultEqn

LHS * 100=RHS* 100

14.2* 100=35.5w/100* 100

FracMultDenomToNumber

a/100* 100 = a

14.2* 100=35.5w

Multiply

Multiply

1420=35.5w

DivEqn

.LHS /35.5.=.RHS /35.5.

1420/35.5=w

CalcQuot

Calculate quotient

40=w

RearrangeEqn

Rearrange equation

w= 40

Knowing the value of w, let's look at the completed percent proportion. 14.2/40=35.5/100 We found that 14.2 is 35.5 % of 40.