2013 AMC 10A Problems/Problem 4

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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?


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