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2011年9月1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.
At Central High School, the math club has 
members and the chess club has 
members. If a total of 
students belong to only one of the two clubs, how many students belong to both clubs?
A. 
B. 
C.
D. 
E. 
正确答案:C
解析:
Let 
stand for the number of students who belong to both clubs. The 
members of the math club can be broken down into two groups: those who are in both clubs (there are 
students in this category) and those who are in the math club only (there are 
students in this category).
The 
members of the chess club can also be broken down into two groups: 
students who are in both clubs and 
students who are in the chess club only.
Since a total of 
students belong to only one of the two clubs, you know that 
. Solving this equation gives 
, so 
students belong to both clubs.
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