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SAT官方每日一题附答案和解析[数学](2015年1月25日)

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答案:D

解析:

Choice (D) is correct. Let r be the number of red marbles in the jar. The probability of selecting a red marble is equal to the number of red marbles divided by the total number of marbles. Since the probability of selecting a red marble is 2/3, it follows that 2/3 = number of red marbles/total number of marbles. There are 36 green marbles and r red marbles, so the previous equation becomes 2/3 = r/(r + 36). This simplifies to 2(r-36) equals 3r, or (2r)-72 equals 3r. Therefore, the number of red marbles, r, is 72.


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