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Softball opponents total runs scored

1425ApprenticeCombinatoricsAlgebra

AMC 12A · 2013 · Problem 2

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 the other games, they scored twice as many runs as their opponent. How many total runs did their opponents score?

Answer choices

A
35
B
40
C
45
D
50
E
55
0 students attempted0% solvedRating 1425

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AMC 12 PracticeAdvanced high school contest practice and review.AMC 10 vs AMC 12Choose the right practice path and difficulty level.AIME Practice StrategyHow to improve accuracy on high-difficulty problems.

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