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AlgebraHardCounting bills in a wallet

Algebra practice question

A wallet holds only $5 bills and $10 bills — 13 bills worth $95 in total. How many $10 bills are in the wallet?

Answer: 6

If all 13 were fives they would total $65; the extra $30 comes from tens at $5 extra each, so there are 6 tens.

Common wrong answers

If you answered 5
Check: 5 tens and 8 fives is $90, short of $95.
If you answered 7
7 is the number of $5 bills; the tens number 6.
If you answered 30
30 is the dollar excess over all-fives; each ten adds $5, giving 6 tens.

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