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Four brothers Adam, Bill, Charles and David together [#permalink]
01 Apr 2010, 03:37

2

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00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

73% (03:23) correct
27% (03:52) wrong based on 65 sessions

Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three brothers and the contribution made by Charles is two-third of the total contribution made by the other three brothers. If the total price of the car is $9900, find the contribution made by David.

Re: Hard Ratio question [#permalink]
01 Apr 2010, 04:02

Hmm, if you write it down you get literally:

A = \frac{1}{2}(B + C + D)

B = \frac{1}{4}(A + C + D)

C = \frac{2}{3}(A + B + D)

A + B + C + D = 9900

Therefore you have a system of 4 unknowns and 4 equations, so it's solvable (too bad it's not a DS problem we could just stop here ). Now I guess the easiest way to solve it is to use Gauss' Pivot Method? Remember you are only interested in D, so no need to calculate A, B and C, that would be a waste of time

Re: Four brothers Adam, Bill, Charles and David together [#permalink]
02 Dec 2012, 03:30

Expert's post

hardnstrong wrote:

Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three brothers and the contribution made by Charles is two-third of the total contribution made by the other three brothers. If the total price of the car is $9900, find the contribution made by David.

Re: Four brothers Adam, Bill, Charles and David together [#permalink]
25 Feb 2014, 04:15

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