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# A bus is chartered by x people who are to contribute equally to the to

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Math Expert
Joined: 02 Sep 2009
Posts: 43381
A bus is chartered by x people who are to contribute equally to the to [#permalink]

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20 Dec 2017, 02:20
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Question Stats:

96% (00:55) correct 4% (02:07) wrong based on 26 sessions

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A bus is chartered by x people who are to contribute equally to the total charter cost of $600. If after the down payment each person still owes$27, how much was the down payment per person?

A. 33/x
B. 573/x
C. (600 - 27x)/x
D. 600/(27x)
E. (27x - 600)/x
[Reveal] Spoiler: OA

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Manager
Joined: 17 Jul 2017
Posts: 107
Location: India
WE: Engineering (Transportation)
Re: A bus is chartered by x people who are to contribute equally to the to [#permalink]

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20 Dec 2017, 03:01
1
KUDOS
Cost per person = 600/x

Cost each one still owes - $27 Down payment made = (600/x) - 27 = (600-27x)/x (On cross multiplication) Manager Joined: 24 Nov 2016 Posts: 151 Re: A bus is chartered by x people who are to contribute equally to the to [#permalink] ### Show Tags 20 Dec 2017, 05:25 1 This post received KUDOS Bunuel wrote: A bus is chartered by x people who are to contribute equally to the total charter cost of$600. If after the down payment each person still owes $27, how much was the down payment per person? A. 33/x B. 573/x C. (600 - 27x)/x D. 600/(27x) E. (27x - 600)/x How much was the down payment per person: $$\frac{Down.Payment}{x}$$; $$Total.Cost=Down.Payment+Remaining$$, and $$Total.Cost=600$$, $$Remaining=27*x$$; so, $$Down.Payment=600-27x$$ And per person down payment is: $$\frac{Down.Payment}{x}=\frac{(600-27x)}{x}$$ (C) is the answer. Senior Manager Joined: 13 Apr 2013 Posts: 259 Location: India Concentration: International Business, Operations Schools: ISB '19 GMAT 1: 480 Q38 V22 GPA: 3.01 WE: Engineering (Consulting) Re: A bus is chartered by x people who are to contribute equally to the to [#permalink] ### Show Tags 20 Dec 2017, 08:26 1 This post was BOOKMARKED Bunuel wrote: A bus is chartered by x people who are to contribute equally to the total charter cost of$600. If after the down payment each person still owes $27, how much was the down payment per person? A. 33/x B. 573/x C. (600 - 27x)/x D. 600/(27x) E. (27x - 600)/x With variable in answer choices Plugging numbers is the best way: Say , x = 10 (people chartered the bus Total charter cost =$ 600

Per person down payment contribution = 600/10 = $60 Remaining after down payment =$ 27

Actual down payment = 60 - 27 = $33 per person Plug In x = 10 in all answer choices Only answer choice (C) will give you$ 33.
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Re: A bus is chartered by x people who are to contribute equally to the to   [#permalink] 20 Dec 2017, 08:26
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