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42 more than 8 times a number is 114. what is the number?

Problem solving involving motion

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Translate the English statement into math symbols and solve the resulting equation.
Let x be the number you are seeking.
42 more than some number translates as some number +42
But the some number is 8 times your number x, 8x
You have
8x+42=114
Isolate 8x=114-42=72
Isolate x: divide both sides of the equation by 8
x=72/8=9
Your number is x=9

Posted on Nov 27, 2012

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