1958 AHSME Problems/Problem 14
Problem
At a dance party a group of boys and girls exchange dances as follows: one 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 $n^t^h$ (Error compiling LaTeX. Unknown error_msg) 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 13 |
Followed by Problem 15 | |
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