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SAT官方每日一题:2011年8月23日

2012-03-04来源:互联网

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  2011年8月23日

  考试类型:Mathematics > Standard Multiple Choice

  Read the following SAT test question and then click on a button to select your answer. 

  In an 8-gram solution of water and alcohol, the ratio by mass of water to alcohol is 3 to 1. If 12 grams of a solution consisting of 2 grams water for each gram of alcohol is added to the 8-gram solution, what fraction by mass of the new solution is alcohol?

  A. 1 over 6

  B. 3 over 10

  C. 5 over 12

  D. 7 over 12

  E. 5 over 24

  正确答案:B

  解析:

  To find what fraction by mass of the new solution is alcohol, you can find how many grams of alcohol are in the final solution of 20 grams. Since the 8-gram solution is 1 part alcohol to 3 parts water, it is 1 over 4 alcohol. So it contains 2 grams of alcohol. Similarly, the 12-gram solution is 1 over 3 alcohol by mass, so it contains 4 grams of alcohol. Thus, the final 20-gram solution contains 6 grams of alcohol, so 6 over 20, or 3 over 10, of it is alcohol.