1987 AHSME Problems/Problem 5
Problem
A student recorded the exact percentage frequency distribution for a set of measurements, as shown below. However, the student neglected to indicate , the total number of measurements. What is the smallest possible value of ?
Solution
Note that , , and . Thus, since the frequencies must be integers, must be divisible by , , and (so that etc. are integers), or in other words, is divisible by . Thus the smallest possible value of is the smallest positive multiple of , which is itself, or .
See also
1987 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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