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

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Magoosh GMAT Instructor
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Harold needs to buy a ticket to attend a conference for work  [#permalink]

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New post 07 Aug 2014, 14:54
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:45) correct 19% (02:21) wrong based on 175 sessions

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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


This 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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Re: Harold needs to buy a ticket to attend a conference for work  [#permalink]

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New post 07 Aug 2014, 18:50
1
To me, this problem is still easier to solve with algebra. Probably since I'm an engineer and going with equations is our go to nature; brain seems to be hardwired for it. Only used backsolving when I couldn't readily create any equation.

\((\frac{1}{2}x-4)+(\frac{1}{3}x+1)+10=x\)
\(3x-24+2x+6+60=6x\)
\(x=42\)

Equation was relatively easy to set up and to solve.

Answer is B
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Re: Harold needs to buy a ticket to attend a conference for work  [#permalink]

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New post 08 Aug 2014, 00:27
Say price of ticket = x

Own department contribution \(= \frac{x}{2} - 4\)

HR contribution \(= \frac{x}{3} + 1\)

Self contribution = 10

Setting up the equation

\(x = \frac{x}{2} - 4 + \frac{x}{3} + 1+10\)

x=42

Answer = B
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Re: Harold needs to buy a ticket to attend a conference for work  [#permalink]

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New post 18 Dec 2017, 06:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Harold needs to buy a ticket to attend a conference for work &nbs [#permalink] 18 Dec 2017, 06:51
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