Missing 10 Dollars
1. **State the problem:**
Three girls paid $100 each, total $300, for a motel room.
Later, the clerk realizes the room only costs $250 and gives $50 to the attendant to return.
The attendant gives $10 back to each girl (total $30) and keeps $20.
The question is: where is the missing $10 when the girls paid $90 each (total $270) plus $20 kept by the attendant?
2. **Clarify the situation:**
Total amount paid by girls initially: $300.
Correct amount for room: $250.
Amount to be refunded: $50.
Each girl gets $10 back, so refunds total $30.
The attendant keeps $20.
3. **Calculate the actual money flow:**
Money paid by girls after refund: $300 - $30 = $270.
Of this $270, $250 is with the motel (actual room cost) and $20 with the attendant.
So, $270 = $250 + $20.
4. **Identify the confusion:**
The mistake is adding the $20 with $270.
The $270 already includes the $20 kept by the attendant.
It is incorrect to do $270 + 20 = $290 and look for $10 difference.
5. **Correct interpretation:**
Girls paid $270 total.
$250 is room cost.
$20 is with the attendant.
Sum of these is $270, matching the amount each girls effectively paid.
No money is missing.
**Final explanation:**
The "missing" $10 is a result of an incorrect sum. The $20 held by attendant is part of the $270 the girls paid, not additional. The problem is a classic misdirection.
**Answer:** No money is missing. The $270 the girls paid includes the $20 kept by the attendant and $250 paid for the room.