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# Math Riddles

 The Missing DollarThree friends check into a motel for the night and the clerk tells them the bill is \$30, payable in advance. So, they each pay the clerk \$10 and go to their room. A few minutes later, the clerk realizes he has made an error and overcharged the trio by \$5. He asks the bellhop to return \$5 to the 3 friends who had just checked in. The bellhop sees this as an opportunity to make \$2 as he reasons that the three friends would have a tough time dividing \$5 evenly among them; so he decides to tell them that the clerk made a mistake of only \$3, giving a dollar back to each of the friends. He pockets the leftover \$2 and goes home for the day! Now, each of the three friends gets a dollar back, thus they each paid \$9 for the room which is a total of \$27 for the night. We know the bellhop pocketed \$2 and adding that to the \$27, you get \$29, not \$30 which was originally spent. Where did the other dollar go???? The Check 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?