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Master | Next Rank: 500 Posts
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by shibal » Tue Jun 30, 2009 5:00 pm
Three grades of milk: 1%, 2%, and 3% fat by volume. X gallons of 1%, y gallons of 2%, and z gallons of 3% are mixed to give x + y + z gallons of 1.5%. What is x in terms of y and z?

oa: y+3z
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by truplayer256 » Tue Jun 30, 2009 5:10 pm
This question has been asked many times by Beat the GMAT users. Please search the question before posting it.

https://www.beatthegmat.com/ratios-grade ... tml#156772
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by shibal » Tue Jun 30, 2009 6:11 pm
i try to solve x/100 + 2y/100 + 3z/100 = 3(x+y+z)/200 for x and i don't get y+3z... can someone pls help me?
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by ssmiles08 » Tue Jun 30, 2009 6:49 pm
shibal wrote:i try to solve x/100 + 2y/100 + 3z/100 = 3(x+y+z)/200 for x and i don't get y+3z... can someone pls help me?
you are on the right track:

x/100 + 2y/100 + 3z/100 = 3x/200 + 3y/200 + 3z/200.

(2y/100 - 3y/200) + (3z/100 - 3z/200) = 3x/200 - x/100.

(4y-3y)/200 + (6z - 3z)/200 = (3x - 2x)/200

y/200 + 3z/200 = x/200

Multiply both sides by 200.

y + 3z = x

-hope this helps.
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