A certain shade of gray paint is obtained by mixing 3 parts : Quant Question Archive [LOCKED]
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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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24 Aug 2005, 15:43
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Please, post the time it took you to solve.
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24 Aug 2005, 16:01
hmm...I would go with B...took me about 40 secs....

here is what I did:

W:B
3:5

3/8*2=0.75 Liters of W, which means I would take 1 gallon of

5/8*2=5/8 liters which is about 1.5 litters, i bought 1 gallon of Black and then bought half gallon of Black...

total 2.5Liters...
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24 Aug 2005, 16:28
I am coming up with E.
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24 Aug 2005, 18:19
B it is: 2.5

3x+5x = 8

x= 1/4

white: 3/4 (1 gallon)

black: 5/4 (1.5 gallon)
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Re: Mixtures - how much time it took you to solve? [#permalink]

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25 Aug 2005, 03:22
My answer is E, under 1 minute...

1.5 white, 2.5 black so 4.

I think 0.75 (1 gal) and 1.25 (1.5 gal) is wrong, because we cannot measure out anything other than 0.5 and 1 or multiples.

If thats the case we might as well go for 0.375 (0.5 gal) and 0.625 (1gal), so answer would be 1.5 which is not in the choices....
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25 Aug 2005, 04:32
one more B; under 1 min
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29 Aug 2005, 23:57
I would go with E for reasons that ranga gave. If you bought 1 gallon of white paint how will you measure 0.75G? same reason with the black paint.

took me abt 1 min
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31 Aug 2005, 02:42
I go with E .

that must be purchased in order to measure out the portions needed for the mixture?
IMO this clearly states that we can just use 0.5 g and 1 g.
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02 Sep 2005, 12:14
what is the OA....I get 2.5
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03 Sep 2005, 12:22
Dishod,
What is the OA?
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03 Sep 2005, 12:24
Ranga41......Is that an assumption that we don't have a measuring method available....Sure, we could buy a min of 2.5 and measure on our own versus have the paint seller measure prior to selling(which in real life does not work either, btw)?

Very keen to know the OA now?
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04 Sep 2005, 21:19
The OA is B.
Ranga41 - My method of thinking was the same as yours. thats why I get it wrong.

All, who don't agree with B - read the question stem again. i agree with B.
04 Sep 2005, 21:19
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