Exercise 19 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 75% of 124 is by thinking about 75 as the percent and 124 as the whole. Let's substitute p= 75 and w= 124 into the formula and solve for a using the Properties of Equality.

a/w=p/100

SubstituteII

p= 75, w= 124

a/124=75/100

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Solve for a

MultEqn

LHS * 124=RHS* 124

a/124* 124=75/100 * 124

FracMultDenomToNumber

a/124* 124 = a

a=75/100 * 124

MoveRightFacToNum

a/c* b = a* b/c

a=75* 124/100

Multiply

Multiply

a=9300/100

CalcQuot

Calculate quotient

a= 93

Knowing the value of a, let's look at the completed percent proportion. 93/124=75/100 We found that 93 is 75 % of 124.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.