Three girls paid $100 each, a total of $300, to share a Motel Room. Later, the desk clerk realizing she should have only charged $250, gives the Room Attendant $50 and asks him to return it to the three girls. Unable to divide the money three ways, he decides to give $10 to each girl and pockets the remaining $20. The girls have now paid $90 each or $270 for the room, and the room attendant has $20. What happened to the other $10?

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Moose

To solve this question, let's break down the transactions step by step:

1. Initially, the three girls paid $100 each, totaling $300.
2. Later, the desk clerk realizes she should have only charged $250. To correct her mistake, she gives $50 to the room attendant.

Now, let's examine what happens when the room attendant tries to return the extra $50 to the girls:

3. The room attendant decides to keep $20 for himself and gives $10 back to each girl.
- Each girl has received $10.
- $10 * 3 girls = $30

So far, the girls have received $30 back from the $50 returned by the room attendant.

Now, let's calculate the total amount the girls have paid for the room:

4. The girls initially each paid $100, which totals $300.
5. Out of the $300 they paid, they received $30 back.

Hence, the girls have paid $300 - $30 = $270 for the room.

So, the discrepancy lies in the wording of the question. It is incorrect to add the remaining $20 that the room attendant pocketed to the $270 the girls have paid. These two amounts should not be combined because they represent separate transactions. The wording of the question is misleading by suggesting that the girls should have paid $270 for the room.

In short, the girls originally paid $300 for the room, and after receiving $30 back from the room attendant, they have paid a total of $270.