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# It takes 3 parts of black paint and 5 parts of white paint

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Intern
Joined: 31 Jul 2003
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It takes 3 parts of black paint and 5 parts of white paint [#permalink]  09 Mar 2004, 08:00
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It takes 3 parts of black paint and 5 parts of white paint to create a 2 gallon mixture of grey paint. If black and white paint can only be purchased in 1 gallon and 1/2 gallon cans, what is the smallest number of gallons needed to create the grey mixture?

a) 1
b) 1 1/2
c) 2
d) 2 1/2
e) 3
SVP
Joined: 30 Oct 2003
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Location: NewJersey USA
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B I guess.

If you use 1/2 gallon of white paint then you need 3/5*0.5 gallons of Black paint = 0.3 gallons. But minimum to be purchased is one gallon.
So you have 1 gallon of Black and 1/2 gallon of Black paint
Intern
Joined: 31 Jul 2003
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the question is saying that you can purchase either black or white paint in 1 or 1/2 gallon cans.

the answer is 2 1/2, anyone know how?
SVP
Joined: 30 Oct 2003
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Location: NewJersey USA
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ok the question is not framed properly. It should say that 2 gallons of paint is required.

for 2 gallons of paint you need black = 3/(3+5) * 2 = 0.75 gallons
Here u need to buy minimum one can of paint 1 > 0.75

for 2 gallons of paint you need white = 5/(3+5) * 2 = 1.25 gallons
Here you need to buy minimum 3 cans of paint because 3*0.5 > 1.25

So you have 1 + 3 * 0.5 = 2.5 gallons of paint.
Manager
Joined: 16 Jan 2004
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Location: NJ
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2 gallons in devided into 8 parts (3:5) so 1 pat is 0.25

Now black is 0.75 gallon (3 parts) - need 1 gallon (can be bought in 1G)
white is 1.25gallon (5 parts) - need 1.5gallon (ought in 1.5G)

So Total gallons = 1+1.5 = 2.5
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