Difference between revisions of "2013 AMC 8 Problems/Problem 4"

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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?
 
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?
  
<math> \textbf{(A)}\ &#036;120\qquad\textbf{(B)}\ &#036;128\qquad\textbf{(C)}\ &#036;140\qquad\textbf{(D)}\ &#036;144\qquad\textbf{(E)}\ &#036;160 </math>
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<math> \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 </math>
  
 
==Solution==
 
==Solution==

Revision as of 13:48, 27 November 2013

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 $\text{\textdollar}2.50 \cdot 7$. Since Judi was supposed to pay $\dfrac{1}{8}$ of the total bill, the total bill must be $8 \cdot 7 \cdot \text{\textdollar}2.50 = \boxed{\textbf{(C)} \ \text{\textdollar}140}$.

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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