2. 外语
  3. Each year, the members of a book club select novels and nonfiction books to read. The club meets 3 times to discuss each novel a

Each year, the members of a book club select novels and nonfiction books to read. The club meets 3 times to discuss each novel a

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问题 Each year, the members of a book club select novels and nonfiction books to read. The club meets 3 times to discuss each novel and 5 times to discuss each nonfiction book they select. Last year, the club met 52 times and discussed 12 books. How many novels did the club discuss last year?
选项 A、2
B、4
C、5
D、7
E、14
答案B
解析 Let n represent the number of novels the club discussed last year. Since the club discussed a total of 12 books, the number of nonfiction books is represented by 12 - n. This, together with the information that the club met 3 times to discuss each novel and 5 times to discuss each nonfiction book, tells you that the number of times the club met last year can be expressed as 3n + 5(12 - n). Since you know that the club met 52 times last year, it follows that 3n + 5(12 - n)= 52. This equation can be solved for n as follows.
3n+5(l2-n)= 52
3n+60-5n = 52
8 = 2n
4 = n
Thus the club discussed 4 novels. The correct answer is Choice B.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 5: Simplify an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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