1958 AHSME Problems/Problem 14
Problem
At a dance party a group of boys and girls exchange dances as follows: The first boy dances with girls, a second boy dances with girls, and so on, the last boy dancing with all the girls. If represents the number of boys and the number of girls, then:
Solution
After inspection, we notice a general pattern: the boy dances with girls. Since the last boy dances with all the girls, there must be four more girls than guys.
Therefore, the equation that relates them is
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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