Difference between revisions of "2013 AMC 10A Problems/Problem 4"

(Created page with "A softball team played ten games, scoring 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 runs. They lost by one run in exactly five games. In each of their other games, they scored twice as...")
 
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A softball team played ten games, scoring 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 runs.  They lost by one run in exactly five games.  In each of their other games, they scored twice as many runs as their opponent. How many total runs did their opponents score?
 
A softball team played ten games, scoring 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 runs.  They lost by one run in exactly five games.  In each of their other games, they scored twice as many runs as their opponent. How many total runs did their opponents score?
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<math> \textbf{(A)}\ &#036;2.25\qquad\textbf{(B)}\ &#036;2.50\qquad\textbf{(C)}\ &#036;2.75\qquad\textbf{(D)}\ &#036;3.00\qquad\textbf{(E)}\ &#036;3.25 </math>

Revision as of 22:31, 6 February 2013

A softball team played ten games, scoring 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 runs. They lost by one run in exactly five games. In each of their other games, they scored twice as many runs as their opponent. How many total runs did their opponents score?


$\textbf{(A)}\ &#036;2.25\qquad\textbf{(B)}\ &#036;2.50\qquad\textbf{(C)}\ &#036;2.75\qquad\textbf{(D)}\ &#036;3.00\qquad\textbf{(E)}\ &#036;3.25$ (Error compiling LaTeX. Unknown error_msg)