Question of the Day

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Jun
30
2015
22,783 responses
Number Answered 12,739 10,044
55% correct

Mathematics > Standard Multiple Choice

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

Ten cars containing a total of people passed through a checkpoint. If none of these cars contained more than people, what is the greatest possible number of these cars that could have contained exactly people?

Answer Choices

Hint

If each of the ten cars contained exactly people, there would be a total of only people. If nine of the cars contained exactly people, the remaining car could have no more than people, for a total of only . What if eight cars contained exactly people? Try to find a pattern.

Question of the Day

Can you answer today's question?

Next Tests:
10/3 , 11/7

Jun
30
2015
22,783 responses
Number Answered 12,739 10,044
55% correct

Mathematics > Standard Multiple Choice

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

Ten cars containing a total of people passed through a checkpoint. If none of these cars contained more than people, what is the greatest possible number of these cars that could have contained exactly people?

Answer Choices

Answer

It could not be true that each of the ten cars contained exactly people, as this would give a total of only . If nine of the cars contained exactly people, the remaining car could have no more than people, for a total of only . Continuing in the same way, a pattern develops. If eight of the cars contained exactly people, the remaining two cars could have no more than people each, for a total of only . If seven of the cars contained exactly people, the total number of people could be only . From the pattern, you can see that if four of the cars contained exactly people, and the remaining six cars contained the maximum of people, the total number would be , as given in the question. Therefore, at most four of the ten cars could have contained exactly people.