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12 is 15% of what number?

 May 22, 2017
 #1
avatar
+1

12 is 15% of what number?

 

Let the number =N, then:

15%N = 12

0.15N = 12    divide both sides by 0.15

N =12 / 0.15

N = 80

 May 22, 2017
 #2
avatar+2446 
+1

12 is 15% of 80.

 

Setup a proportion. Setting up a proportion allows the calculation to be simpler arithmetically:

 

12x=15100Simplify the 15/100 by dividing the numerator and denominator by the GCF, 5.

12x=320Cross multiply and solve for x

1220=3xSimplify the left hand side of the equation

240=3x Divide by 3 on bioth sides to isolate x

80=x

 May 22, 2017
 #3
avatar+245 
-1

Both of these solutions are essentially doing the same thing 

15% is .15 and as a fraction that 15/100 or 3/20 so by dividing by .15 you are basically multiplying by 20 and dividing by 3.

 

smiley 

JonathanB  May 22, 2017

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