# prpblem solving

posted by TJ

A customer enters a store & purchases slippers for \$5, paying for the purchase with \$20 bill. The merchant, unable to make change, ask the grocer next door to change the bill. The merchant then gives the customer the slippers & \$15 change. After the customer, leaves the grocer discovers that the \$20 bill is counterfeit & demands that the shoe store owner make good on it. The shoe store owner does so, & by law is obligated to turn the counterfeit bill over to the FBI. How much does the shoe store owner lose in this transaction?

1. DrBob222

I think he lost \$20 + the cost of the slippers. Or is this a trick question?

2. MathGuy1492

Suppose the merchant has only a \$20 bill in his till. The customer comes in with the (counterfeit) \$20, goes next door to the grocer and then gets, let's say, four \$5 bills. He comes back and gives the customer three of those for his \$15 change and then puts the fourth \$5 bill in his till. This means, right now he is up \$5 for \$25 in his till. Later, the grocer next door comes in with the counterfeit bill and the merchant must give him \$20, leaving \$5 in his till. Considering he SHOULD have \$25 in the cash register, I agree that he is out \$20 [plus the cost of buying the slippers].

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