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Pearson Algebra 1 Common Core, 2011 – Absolute Value Equations and Inequalities

120

Solution

75 % of what number equals 90? When asking this question, we are thinking about 90 as part of a whole and our missing number is the whole amount. Let's use a percentage proportion. a/b=p/100 Here a is the part and b is the whole. We can find b by substituting a=90 and p=75 into the formula and solving for b.

a/b=p/100
SubstituteII

a= 90, p= 75

90/b=75/100
ReduceFrac

a/b=.a /25./.b /25.

90/b=3/4
MultEqn

LHS * b=RHS* b

90=3/4 * b
MultEqn

LHS * 4=RHS* 4

360=3b
DivEqn

.LHS /3.=.RHS /3.

120=b
RearrangeEqn

Rearrange equation

b=120

Therefore, 75 % of 120 is 90.

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