Harold needs to buy a ticket to attend a conference for work. His own department contributes $4 less than half the price of the ticket. The HR department will contributes $1 more than a third of the price of the ticket. With these two contributions, Harold has to pay only $10 out of his own pocket to cover the cost of the ticket. What was the price of the ticket?

(A) $36

(B) $42

(C) $48

(D) $54

(E) $60This is a problem that is screaming for a solution by

backsolving. If this is a technique with which you are unfamiliar, or if you have trouble deciding when to use this strategy, see:

http://magoosh.com/gmat/2013/backsolving-on-gmat-math/which also has the OE for this particular question.

Mike

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Mike McGarry

Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)