2013 AMC 8 Problems/Problem 1

Problem

Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way?

$\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 5$

Solution

The least multiple of 6 greater than 23 is 24. So she will need to add $\boxed{\textbf{(A)}\ 1}$ more model car. ~avamarora

2013 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

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2013 AMC 8 Problems/Problem 1

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