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SAT I 一日一问：2013年5月8日

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The Correct answer is E.

Explanation

Among the eighty seniors, there are boys for every girls, so 3 over 8 of the seniors, or , are boys and 5 over 8 , or , are girls. Among the juniors, 3 over 5 are boys and 2 over 5 are girls. If stands for the total number of juniors, then (3 over 5) times x are boys and (2 over 5) times x are girls. The total number of senior and junior boys is 30 plus ((3 over 5) times x) . The total number of senior and junior girls is 50 plus ((2 over 5) times x) . The question states that these quantities are equal, so 30 plus ((3 over 5) times x) = 50 plus ((2 over 5) times x) . Solving this gives 150 + 3 times x = 250 + 2 times x , or x = 100 .