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主题:[The Official SAT Question of the Day™] January 30th Friday

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Ten cars containing a total of 32 people passed through a checkpoint. If none of these cars contained more than 4 people, what is the greatest possible number of these cars that could have contained exactly 2 people?
A. One
B. Two
C. Three
D. Four
E. Five
SAT题目:http://apps.collegeboard.com/qotd/question.do
楼主 Date: 2009-01-30 14:27:58
Hint : If each of the ten cars contained exactly 2 people, there would be a total of only 20 people. If nine of the cars contained exactly 2 people, the remaining car could have no more than 4 people, for a total of only 22. What if eight cars contained exactly 2 people? Try to find a pattern.
沙发 Date: 2009-01-30 14:29:02
Correct Answer: D
    • Here's Why: It could not be true that each of the ten cars contained exactly 2 people, as this would give a total of only 20. If nine of the cars contained exactly 2 people, the remaining car could have no more than 4 people, for a total of only 22. Continuing in the same way, a pattern develops. If eight of the cars contained exactly 2 people, the remaining two cars could have no more than 4 people each, for a total of only 24. If seven of the cars contained exactly 2 people, the total number of people could be only 26. From the pattern, you can see that if four of the cars contained exactly 2 people, and the remaining six cars contained the maximum of 4 people, the total number would be 32, as given in the question. Therefore, at most four of the ten cars could have contained exactly 2 people.
    • Difficulty: Medium
    • Question Type: Standard Multiple Choice
      (Mathematics)
板凳 Date: 2009-01-30 14:29:18
(1)x+y=10
(2)2x+4y=32
than make out y=6
   x=4疑问
4 Date: 2009-01-30 23:24:20
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