Exercise 1 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 3 of 5 is by thinking about 3 as the part of a whole and 5 as the whole. Let's substitute a= 3 and w= 5 into the formula and solve for p using the Properties of Equality.

a/w=p/100

SubstituteII

a= 3, w= 5

3/5=p/100

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Solve for p

MultEqn

LHS * 100=RHS* 100

3/5* 100=p/100 * 100

FracMultDenomToNumber

a/100* 100 = a

3/5* 100=p

MoveRightFacToNum

a/c* b = a* b/c

3* 100/5=p

Multiply

Multiply

300/5=p

CalcQuot

Calculate quotient

60=p

RearrangeEqn

Rearrange equation

p= 60

Knowing the value of p, let's look at the completed percent proportion. 3/5=60/100 We found that 3 is 60 % of 5.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.