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# Four-ninths of a drink mix is dye and the rest is sugar.

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VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
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Four-ninths of a drink mix is dye and the rest is sugar. [#permalink]  24 Dec 2007, 11:34
Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 7.5% sugar. What percentage of the gallon is dye?
(A) 6
(B) 6.5
(C) 7.5
(D) 8
(E) 24
Director
Joined: 12 Jul 2007
Posts: 865
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Kudos [?]: 213 [0], given: 0

A. 6

4/9 = dye
5/9 = sugar

if 5/9 = 7.5 percent, then 7.5/5 = 1/9 = 1.5%
1.5*4 = 4/9 = 6%

SVP
Joined: 28 Dec 2005
Posts: 1583
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eschn3am wrote:
A. 6

4/9 = dye
5/9 = sugar

if 5/9 = 7.5 percent, then 7.5/5 = 1/9 = 1.5%
1.5*4 = 4/9 = 6%

doesnt this just tell us the amount of mix ?

i set it up the same way, and had 5/9*m=sugar=7.5
Director
Joined: 12 Jul 2007
Posts: 865
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Kudos [?]: 213 [0], given: 0

no, it tells us the percentage of sugar. It's just a ratio

if 5/9 of the mix = 7.5% of the liquid then 4/9 of the mix = 6% of the liquid. Answer should be A.
Director
Joined: 23 Sep 2007
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you can eliminate choice c, d, e off the bat

I use the equation 4/5 = x/7.5 to solve for x to get 6.
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