Casinos

Algebra Level 3

At a fraternity casino night party, play money was given out in denominations of ones, tens, twenties, and fifties. What is the largest sum of money you could have so that no subset has a sum of one hundred dollars? (all the numbers are in dollars).

  • NCML
81 None of the above 99 139

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1 solution

Terry Yu
Oct 12, 2017

The most you could have is 9 one dollar bills, 4 twenty dollar bills, and 1 fifty dollar bill, which adds up to 139 \boxed{139} . Remember, subset is any group of numbers.

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