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?  Choose the correct choice from the following:
A) $36	B) $42	C) $48	D) $54	E) $60
Say price of ticket = x   Own department contribution =x/2−4   HR contribution =x/3+1   Self contribution = 10   Setting up the equation   x=x/2−4+x3+1+10   x=42   Answer = $42
<result>B</result>
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?