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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # Harold needs to buy a ticket to attend a conference for work  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Magoosh GMAT Instructor Joined: 28 Dec 2011 Posts: 4488 Harold needs to buy a ticket to attend a conference for work [#permalink] ### Show Tags 07 Aug 2014, 13:54 00:00 Difficulty: 15% (low) Question Stats: 83% (02:17) correct 17% (02:55) wrong based on 179 sessions ### HideShow timer Statistics 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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Mike McGarry
Magoosh Test Prep

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

Intern
Joined: 14 May 2014
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Concentration: General Management, Operations
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Re: Harold needs to buy a ticket to attend a conference for work  [#permalink]

### Show Tags

07 Aug 2014, 17:50
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.

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

### Show Tags

07 Aug 2014, 23:27
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

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

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18 Dec 2017, 05:51
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, 05:51
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