Earnings per Team and per Member

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On average, each member of Team B earned as much as each member of Team A last year. If Team B has as many members as Team A, what fraction of the total earnings did Team A earn?

Review: Earnings per Team and per Member


Explanation

This question is not unduly difficult to examine through a case. It's even easier if we work it backwards. Team B has as many members. Say Team A has 100 people and Team B has 75. Each person on Team A earned $10 (it's not a very high-performing team) and each person on Team B earned $6. This case fits all the parameters given. The total earnings will be



And the fraction of the total earnings that Team A earned is











Therefore, the correct answer is (E).


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