2005 AMC 8 Problems/Problem 1

Problem

Connie multiplies a number by $2$ and gets $60$ as her answer. However, she should have divided the number by $2$ to get the correct answer. What is the correct answer?

$\textbf{(A)}\ 7.5\qquad\textbf{(B)}\ 15\qquad\textbf{(C)}\ 30\qquad\textbf{(D)}\ 120\qquad\textbf{(E)}\ 240$

Solution

If $x$ is the number, then $2x=60$ and $x=30$ . Dividing the number by $2$ yields $\dfrac{30}{2} = \boxed{\textbf{(B)}\ 15}$ .

A second way to do it is to divide the number by $4$ , as you multiplied by $2$ when you were supposed to divide by $2$ . So, $\dfrac{60}{4} = \boxed{\textbf{(B)}\ 15}$ .

2005 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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2005 AMC 8 Problems/Problem 1

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