Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $8 more than 1/4 of the fine and Peter paid $8 less than 1/3 of the fine, leaving pay $15 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?	Pick:
A) $70
B) $72
C) $73
D) $74
E) $75
Call the fine F. Joe paid (1/4)F + 4 and Peter paid (1/3)F – 4, leaving (1/2)F – 5 left. If we add those three up, they should add up to F.   F = [(1/4)F + 8] + [(1/3)F – 8] + [(1/2)F – 15]   F = (1/4)F + (1/3)F + (1/2)F – 15   Multiply all terms by 12 to clear the fractions.   12F = 3F + 4F + 6F – 180   12F = 13 F – 180   –F = – 180   F = 180   Well, if the fine cost $180, then Sam paid the part not covered by Joe or Peter. Half the fine is $90, and Sam paid $15 less than this: $75   Answer = $75
<result>E</result>
Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $8 more than 1/4 of the fine and Peter paid $8 less than 1/3 of the fine, leaving pay $15 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?