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).
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The most you could have is 9 one dollar bills, 4 twenty dollar bills, and 1 fifty dollar bill, which adds up to 1 3 9 . Remember, subset is any group of numbers.