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

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

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New post 20 Dec 2017, 02:20
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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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Re: A bus is chartered by x people who are to contribute equally to the to [#permalink]

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New post 20 Dec 2017, 03:01
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Cost per person = 600/x

Cost each one still owes - $27

Down payment made = (600/x) - 27 = (600-27x)/x (On cross multiplication)
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Re: A bus is chartered by x people who are to contribute equally to the to [#permalink]

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New post 20 Dec 2017, 05:25
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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.
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Re: A bus is chartered by x people who are to contribute equally to the to [#permalink]

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New post 20 Dec 2017, 08:26
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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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