1987 AJHSME Problems/Problem 15

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Problem

The sale ad read: "Buy three tires at the regular price and get the fourth tire for <dollar/>3." Sam paid <dollar/>240 for a set of four tires at the sale. What was the regular price of one tire?

$\text{(A)}\ 59.25\text{ dollars} \qquad \text{(B)}\ 60\text{ dollars} \qquad \text{(C)}\ 70\text{ dollars} \qquad \text{(D)}\ 79\text{ dollars} \qquad \text{(E)}\ 80\text{ dollars}$

Solution

Let the regular price of one tire be $x$. We have \begin{align*} 3x+3=240 &\Rightarrow 3x=247 \\ &\Rightarrow x=79  \end{align*}

$\boxed{\text{D}}$

See Also

1987 AJHSME Problems