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?

$\textbf{(A)}\ \text{\textdollar}120\qquad\textbf{(B)}\ \text{\textdollar}128\qquad\textbf{(C)}\ \text{\textdollar}140\qquad\textbf{(D)}\ \text{\textdollar}144\qquad\textbf{(E)}\ \text{\textdollar}160$

Solution

Each of her seven friends paid $\text{\textdollar}2.50$ to cover Judi's portion. Therefore, Judi's portion must be $\text{\textdollar}2.50 \cdot 7 = {\textdollar}17.50$ . Since each friend was supposed to pay the same amount, each friend was supposed to pay $\frac{1}{8}$ of the total bill; the total bill must be $8 \cdot 7 \cdot \text{\textdollar}2.50 = \boxed{\textbf{(C)} \ \text{\textdollar}140}$ .

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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