Exercise 16 Page 245

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 percent 14 of 56 is by thinking about 14 as the part of a whole and 56 as the whole. Let's substitute a= 14 and w= 56 into the formula and solve for p using the Properties of Equality.

a/w=p/100

SubstituteII

a= 14, w= 56

14/56=p/100

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Solve for p

MultEqn

LHS * 100=RHS* 100

14/56* 100=p/100 * 100

FracMultDenomToNumber

a/100* 100 = a

14/56* 100=p

MoveRightFacToNum

a/c* b = a* b/c

14* 100/56=p

Multiply

Multiply

1400/56=p

CalcQuot

Calculate quotient

25=p

RearrangeEqn

Rearrange equation

p= 25

Knowing the value of p, let's look at the completed percent proportion. 14/56=25/100 We found that 14 is 25 % of 56.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.