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A certain shade of gray paint is obtained by mixing 3 parts [#permalink]
25 Apr 2006, 12:18
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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?
Can somebody please explian
We're told we need 2 gallons of gray paints. So these 8 parts represent 2 gallons. Therefore, 1 part = 0.25 gallons. We can now tell that we need 0.75 gallons of white paint and 1.25 gallons of black paint.
The paints are available in 1 gallon or 1/2 gallon cans. For the white paint, we can't buy the 1/2 gallon can as we need 0.75 gallons. So we will need to buy a 1 gallon can of white paint. The same reason applies to the black paint, we will ned a 1 gallon can of black paint, and a 1/2 gallon can of black paint.
The least amt we need to purchase is therefore 2.5 gallons.