Question

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?

Answer 1

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.