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25 Dec 2010, 06:26
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71% (02:24) correct
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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
(A) 6
(B) 6.5
(C) 7.5
(D) 8
(E) 24
25 Dec 2010, 07:47
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The proportion of Dye and sugar will remain constant.
Dye/Sugar = (4/9)/(5/9) = x/7.5
=> 4/5 = x/7.5 => x = 4*7.5/5 = 6.
Answer is A.
Dye/Sugar = (4/9)/(5/9) = x/7.5
=> 4/5 = x/7.5 => x = 4*7.5/5 = 6.
Answer is A.
jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
Posts: 1,316
Given Kudos: 355
Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
16 Dec 2013, 05:42
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rxs0005
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
(A) 6
(B) 6.5
(C) 7.5
(D) 8
(E) 24
Here, let's say that the gallon is 100 litres.
Then sugar in the gallon will be 7.5 litres
Now 5/9x=7.5
'x' is the amoung of the mix poured into gallon
x = (9)(1.5)
Now dye will be 9(1.5)*(4/9)=1.5*4=6
Hence A
Even if you don't find the way to solve it you can straight eliminate answers C,D,E cause the amount of dye is always going to be less given the
4:5 ratio
Hope it helps
Cheers!
J
