2013 AMC 8 Problems/Problem 4

Problem

Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill?

$\textbf{(A)}$ 120 \qquad \textbf{(B)}\ $128 \qquad \textbf{(C)}$ 140 \qquad \textbf{(D)}\ $144 \qquad \textbf{(E)}$ 160$==Solution== Judi's seven friends each paid $2.50 for her, so the total amount of money that was paid for her was$ (Error compiling LaTeX. Unknown error_msg)7\cdot $2.50 =$ 17.50$. This is Judi's portion of the bill; what she was supposed to pay.

Judi was supposed to pay$ (Error compiling LaTeX. Unknown error_msg)\frac{1}{8} $of the total bill, so the total bill must be$ 8\cdot $17.50 = \textbf{(C)}$ 140$.

2013 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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All AJHSME/AMC 8 Problems and Solutions

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2013 AMC 8 Problems/Problem 4

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