A certain shade of gray paint is obtained by mixing 3 parts : PS Archive
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# A certain shade of gray paint is obtained by mixing 3 parts

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A certain shade of gray paint is obtained by mixing 3 parts [#permalink]

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16 Jul 2004, 22:52
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. A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
(A) 2
(B) 2.5
(C) 3
(D) 3.5
(E) 4

This is the only question out of 20 questions from one of the PS tests from gmat+ which i cud not do. Even after the time when i tried to solve it, I could not make head or tail about it. May be Iam feeling very sleepy.
Could anybody help?
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16 Jul 2004, 23:17
crackgmat750 wrote:
. A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
(A) 2
(B) 2.5
(C) 3
(D) 3.5
(E) 4

This is the only question out of 20 questions from one of the PS tests from gmat+ which i cud not do. Even after the time when i tried to solve it, I could not make head or tail about it. May be Iam feeling very sleepy.
Could anybody help?

3 Part White + 5 part black = Gray = 2 Gallons of Gray what we need

so we have total of 8 parts, 2 Gallans/ 8 = .25

So we need

.75 white + 1.25 Black = 1 Galloan ( Min) + 1 Ga black + 1/2 Ga Black

= 2.5 Gallons,

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17 Jul 2004, 00:45
Once again bingo !!
I think the key in this question was to see through the dangerous ETS wording.. or may be i was not focussing properly. But when you get this type of question in the end.. it happens.
Thanks for the explanation
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17 Jul 2004, 07:33
K_s_r wrote:
...
So we need

.75 white + 1.25 Black = 1 Galloan ( Min) + 1 Ga black + 1/2 Ga Black

= 2.5 Gallons,

How is .75 white + 1.25 black = 1 Gallon ??

0.75 + 1.25 = 2

I think the answer is 4 Gallons, but definitely I am missing something.
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Not absurd

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17 Jul 2004, 11:20
the asking here is the LEAST

3 parts of X ( black) to 2 patrs of Y (white)

mow we kmow that they can be purchased only in either 1 ounce or 1/2 once...

and both have to in the same weight that is amount of ounce

so either it could be 1 ounce which gives 3X+2Y =5parts which will be total of 5 ouncez

or 5 * 1/2 ouncez which equalz 2.5 onces...

hope that helps!

have fun
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the whole worldmakes way for the man who knows wer he's going... good luck

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18 Jul 2004, 18:59
[quote="lastochka
great job here![/quote]

Thank you Lastochka
Re: PS from G+   [#permalink] 18 Jul 2004, 18:59
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