Exercise 2 Page 242

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 24 of 20 is by thinking about 24 as the part of a whole and 20 as the whole. Let's substitute a= 24 and w= 20 into the formula and solve for p using the Properties of Equality.

a/w=p/100

SubstituteII

a= 24, w= 20

24/20=p/100

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Solve for p

MultEqn

LHS * 100=RHS* 100

24/20* 100=p/100 * 100

FracMultDenomToNumber

a/100* 100 = a

24/20* 100=p

MoveRightFacToNum

a/c* b = a* b/c

24* 100/20=p

Multiply

Multiply

2400/20=p

CalcQuot

Calculate quotient

120=p

RearrangeEqn

Rearrange equation

p= 120

Knowing the value of p, let's look at the completed percent proportion. 24/20=120/100 We found that 24 is 120 % of 20.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.