# John needed some small bills because he was traveling. He went to a bank and give the teller a \$100 bill...

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John needed some small bills because he was traveling. He went to a bank and give the teller a \$100 bill. He told her, "I need some two dollar bills, ten times as many one-dollar bills, and the rest in five-dollar bills. Assuming she did not tell him to try his request online instead, how many of each did the teller give him?

posted Apr 17

50 * \$1 bills + 5 * \$2 bills + 8 * \$5 bills.
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For every \$2 bills he also gets 10 \$1 bills, making \$12 per set. This is supplemented by \$5 bills, so the sum of the sets have to end at 5 or 0. This happens with 5 sets worth 60\$. Thus 5 * \$2 bills, 50 * \$1 bills and 8 * \$5 bills.

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