SAT官方每日一题:2011年8月23日
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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  solution of water and alcohol, the ratio by mass of water to alcohol is
 solution of water and alcohol, the ratio by mass of water to alcohol is  to
 to  . If
. If  grams of a solution consisting of
 grams of a solution consisting of  grams water for each gram of alcohol is added to the
 grams water for each gram of alcohol is added to the  solution, what fraction by mass of the new solution is alcohol?
 solution, what fraction by mass of the new solution is alcohol?
  A. 
  B. 
  C. 
  D. 
  E. 
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  grams. Since the
 grams. Since the  solution is
 solution is  part alcohol to
 part alcohol to  parts water, it is
 parts water, it is  alcohol. So it contains
 alcohol. So it contains  grams of alcohol. Similarly, the
 grams of alcohol. Similarly, the  solution is
 solution is  alcohol by mass, so it contains
 alcohol by mass, so it contains  grams of alcohol. Thus, the final 20-gram solution contains
 grams of alcohol. Thus, the final 20-gram solution contains  grams of alcohol, so
 grams of alcohol, so  , or
, or  , of it is alcohol.
, of it is alcohol.
 
       
               
               
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