2013 AMC 8 Problems/Problem 4

Revision as of 11:12, 27 November 2013 by Knittingfrenzy18 (talk | contribs) (Solution: get these dollar signs fixed some how we need a hack ><)

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?

$\textbf{(A)}\ &#036;120 \qquad \textbf{(B)}\ &#036;128 \qquad \textbf{(C)}\ &#036;140 \qquad \textbf{(D)}\ &#036;144 \qquad \textbf{(E)}\ &#036;160$ (Error compiling LaTeX. Unknown error_msg)

Solution

Judi's seven friends each paid $2.50 for her, so the total amount of money that was paid for her was $7\cdot &#036;2.50 = &#036;17.50$. This is Judi's portion of the bill; what she was supposed to pay.

Judi was supposed to pay $\frac{1}{8}$ of the total bill, so the total bill must be $8\cdot &#036;17.50 = \boxed{\textbf{(C)}\ &#036;140}$ (Error compiling LaTeX. Unknown error_msg).

See Also

2013 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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