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?
- One
- Two
- Three
- Four
- Five
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.
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