1963 AHSME Problems/Problem 19
Problem
In counting colored balls, some red and some black, it was found that of the first counted were red. Thereafter, out of every counted were red. If, in all, % or more of the balls counted were red, the maximum value of is:
Solution
The desired percentage of red balls is more than percent, so write an inequality.
Since , the sign does not need to be swapped after multiplying both sides by .
Thus, up to batches of balls can be used, so a total of balls can be counted while satisfying the requirements. The answer is .
See Also
1963 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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