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A family member has some five dollar bills and one dollar bills in their wallet. Altogether she has 18 bills and a total of $62. How many bills does she have?
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A family member has some five dollar bills and one dollar bills in their wallet. Altogether she has 18 bills and a total of $62. How many bills does she have?

User Kamalanathan
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x - the number of five dollar bills
y - the number of one dollar bills

She has 18 bills in total.

x+y=18 \\ y=18-x

She has $62.

5x+y=62 \\ y=62-5x

Set both expressions equal to each other:

18-x=62-5x \\ -x+5x=62-18 \\ 4x=44 \\ x=11 \\ \\ y=18-x=18-11=7

She has 11 five dollar bills and 7 one dollar bills.
User Barmic
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