Exercise 28 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 60% is 34 by thinking about 60 as the percent and 34 as a part of the whole. Let's substitute a= 34 and p= 60 into the formula and solve for w using the Properties of Equality.

a/w=p/100

SubstituteII

a= 3/4, p= 60

34/w=60/100

▼

Solve for p

MultEqn

LHS * w=RHS* w

34/w* w=60/100 * w

FracMultDenomToNumber

a/w* w = a

3/4=60/100 * w

MoveRightFacToNum

a/c* b = a* b/c

3/4=60w/100

MultEqn

LHS * 100=RHS* 100

3/4* 100=60w/100* 100

FracMultDenomToNumber

a/100* 100 = a

3/4* 100=60w

Multiply

Multiply

75=60w

DivEqn

.LHS /60.=.RHS /60.

75/60=w

CalcQuot

Calculate quotient

1.25=w

RearrangeEqn

Rearrange equation

w= 1.25

Knowing the value of w, let's look at the completed percent proportion. 34/1.25=60/100 We found that 34 is 60 % of 1.25.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.