Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?	Choices:
A) $65  B) $55  C) $50  D) $60  E) $45
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 + 7] + [(1/3)F – 7] + [(1/2)F – 12]   F = (1/4)F + (1/3)F + (1/2)F – 12   Multiply all terms by 12 to clear the fractions.   12F = 3F + 4F + 6F – 144   12F = 13 F – 144   –F = – 144   F = 144   Well, if the fine cost $144, then Sam paid the part not covered by Joe or Peter. Half the fine is $72, and Sam paid $12 less than this: $60.   Answer = $60
<result>D</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 $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?