Harold needs to buy a ticket to attend a conference for work

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

Harold needs to buy a ticket to attend a conference for work

by AAPL » Thu Sep 19, 2019 1:10 am

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Magoosh

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. $60

OA B

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Source: Beat The GMAT — Problem Solving | Thu Sep 19, 2019 1:10 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Thu Sep 19, 2019 2:24 am

AAPL wrote:Magoosh

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. $60

We can PLUG IN THE ANSWERS, which represent the ticket price.
When the correct answer is plugged in, Harold's share of the ticket = $10.

B: 42
Share paid by Harold's department = $4 less than 1/2 of the ticket price = (1/2)(42) - 4 = 17.
Share paid by the HR department = $1 more than 1/3 of the ticket price = (1/3)(42) + 1 = 15.
Harold's share = (total price) - (two department shares) = 42 - (17+15) = 10.
Success!

The correct answer is B.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Sep 24, 2019 10:22 am

AAPL wrote:Magoosh

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. $60

OA B

We can let p = the price of the ticket and create the equation:

p/2 - 4 + p/3 + 1 + 10 = p

p/2 + p/3 + 7 = p

Multiplying the equation by 6, we have:

3p + 2p + 42 = 6p

42 = p

Answer: B

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