### Brain Teasers

# Piggy Bank

You have stealthily raided your small child's piggy bank. You feel guilty as you count the money. You have the same number of dimes and quarters, totaling exactly $2.45. When you turn honest and put it back, how many of each coin will you need to replace? (Note that your child keeps a record of how much she puts in and in what denomination)

### Answer

Let x represent the number of dimes, which is the same as the quarters. Then 10x represents the value of the dimes (x times 10 cents), and 25x represents the value of the quarters, in cents.10x + 25x = 245

35x = 245

x = 7

Therefore, there were 7 dimes and 7 quarters totaling exactly $2.45

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