A woman went into a bank to cash an insurance refund check. By mistake the teller gave her dollars for cents and cents for dollars. She put the money in her purse but accidentally dropped a nickel on the floor. When she got home, she found that she had exactly twice the amount of the check she had cashed. She didn't have any money in her wallet before going to the bank. What was the exact amount of that check?
Think about the mistake the teller made: dollars for cents and cents for dollars. This means the woman received 100 times more cents than she should have, and 1/100th of the dollars she should have. Now, consider how the dropped nickel affects the final amount...
The amount must have been $31.63. She received $63.31. After she dropped a nickel there would remain the sum of $63.26, which is twice the amount of the check.
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