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Number Puzzle #24- Precision Archery -

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Without any limit on the number of arrows she can use, how close can an archer get to scoring a total of 100 points? The point values for the different rings on the target are as follows: 40, 39, 24, 23, 17, and 16.
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?