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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]  08 Sep 2006, 18:35
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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?
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Joined: 02 Jun 2006
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Ratio of white to black = 3/5

To get 2 gallons,

3x + 5x = 2

x = 2/8 = 1/4 = 0.25

Required White Paint = 0.75
Required Black Paint = 1.25

Paint can be purchased only in 1 gallon or 0.5 gallon sizes.

White Purchase = 1 gallon
Black Purchase = 1.5 gallons
CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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White required = 2*3/8 = 3/4 - Must purchase 1 gallon
Black required = 2*5/8 = 5/4 - Must purchase 1.5 gallons

Total to be purchased = 2.5 gallons
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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haas_mba07 wrote:
Ratio of white to black = 3/5

To get 2 gallons,

3x + 5x = 2

x = 2/8 = 1/4 = 0.25

Required White Paint = 0.75
Required Black Paint = 1.25

Paint can be purchased only in 1 gallon or 0.5 gallon sizes.

White Purchase = 1 gallon
Black Purchase = 1.5 gallons

Textbook explanation
Intern
Joined: 23 Aug 2006
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0.75 W & 1.25 B- Since only 1 Gallon and 1/2 gallon are available,

we need 1 G White & 1.5 G Black totalling to 2.5 Gallon
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