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Paints

by anshulseth » Mon May 11, 2009 11:12 pm
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)
(C) 3
(D)
(E) 4


OA after few posts.
Please explain the working.
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by agoyal2 » Tue May 12, 2009 12:41 am
Choices B / D missing??

Anyway, The White and Grey are in a ratio of 3:5

So, to make 2 Gallons, you will need :
White = 2*3/8 Gallon = 3/4 Gallon (Purchase 1 Gallon)
Grey = 2*5/8 Gallon = 5/4 Gallon (Purchase 1.5 Gallon)

Total 2.5 Gallon minimum.
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by anshulseth » Tue May 12, 2009 3:53 am
Oops, copy paste did it.

Once again the question is:
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
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by anshulseth » Tue May 12, 2009 3:56 am
@agoyal2

I missed u there. Please elaborate your explanation.

How come if it comes out to 3/4 gallon for white, you suggest to purchase 1 gallon. What's the logic?
White = 2*3/8 Gallon = 3/4 Gallon (Purchase 1 Gallon)
Grey = 2*5/8 Gallon = 5/4 Gallon (Purchase 1.5 Gallon)
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by agoyal2 » Tue May 12, 2009 4:06 am
From the question:

"The individual colors can be purchased only in one-gallon or half- gallon cans."

So, for 3/4 Gallon, you can either buy 2 half gallon cans or 1 one gallon can. similarly 5/4 Gallon = 1.25 Gallon = 1 Gallon can and 1 Half Gallon Can.

Whats the OA?
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by ousek » Tue May 12, 2009 4:10 am
agoyal2 wrote:The White and Grey are in a ratio of 3:5

So, to make 2 Gallons, you will need :
White = 2*3/8 Gallon = 3/4 Gallon (Purchase 1 Gallon)
Grey = 2*5/8 Gallon = 5/4 Gallon (Purchase 1.5 Gallon)

Total 2.5 Gallon minimum.
Same strategy, same result.

OA ?
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by anshulseth » Tue May 12, 2009 7:35 am
You are right.
OA is B
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