Difference between revisions of "1958 AHSME Problems/Problem 14"
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Latest revision as of 20:25, 27 January 2023
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 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
