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Four-ninths of a drink mix is dye and the rest is sugar. Whe
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25 Dec 2010, 05:26
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16
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A
B
C
D
E
Difficulty:
45% (medium)
Question Stats:
67% (02:23) correct 33% (02:44) wrong based on 387 sessions
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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?
Re: Four-ninths of a drink mix is dye and the rest is sugar. Whe
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16 Dec 2013, 04:42
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rxs0005 wrote:
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
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
Four-ninths of a drink mix is dye and the rest is sugar. When the mix
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28 Jan 2017, 11:49
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Bunuel wrote:
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
ratio of sugar in mix to sugar in gallon=(5/9)/.075 ratio of dye in mix to dye in gallon=(4/9)/x (5/9)/(.075)=(4/9)/x x=6/100=6% A
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29 Jan 2017, 01:38
Bunuel wrote:
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
suppose it is a litre instead of gallon (As 1 litre =1000 ml)
7.5 % of a litre of solution is sugar 75ml is sugar Now 75 ml sugar constitutes 5/9 of initial mixture means 55.55% of initial mixture means initial mixture is 134 ml thus dye is ~45%(ie 4/9) of 134 ml thus 60 ml so 60ml is 6% of 1000ml ie 1Litre
Re: Four-ninths of a drink mix is dye and the rest is sugar. When the mix
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29 Jan 2017, 10:47
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Bunuel wrote:
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?
Re: Four-ninths of a drink mix is dye and the rest is sugar. Whe
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31 Oct 2017, 15:42
3
1
rxs0005 wrote:
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
Since 4/9 of the drink mix is dye, 5/9 of the mix is sugar. We can create the following proportion in which n = the percentage of dye:
(4/9)/(5/9) = n/(7.5/100)
4/5 = 100n/7.5
500n = 30
n = 30/500 = 6/100 = 6%
Answer: A
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Re: Four-ninths of a drink mix is dye and the rest is sugar. Whe
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21 Nov 2017, 04:07
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rxs0005 wrote:
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
Responding to a pm:
Quote:
is it possible to apply scale method to this one..?
You have 3 elements here - dye, sugar and water. So we cannot use the scale method.
We see that sugar is 5/9 of the drink and 7.5% of the entire water solution. Dye which is 4/9 of the drink would be (7.5/5)*4 = 6% of the entire water solution
Answer (A)
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Re: Four-ninths of a drink mix is dye and the rest is sugar. Whe
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26 Feb 2018, 02:34
rxs0005 wrote:
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
Let X be the total vol of mix Dye = 4/9*X Sugar = 5/9*X
[color=#ffff00]Volume of sugar and dye remain unchanged
Therefore conc of Sugar in final mix = total sugar/1 gallon = 7.5% ( Given)[/color]
= (5/9*x)/1 = 7.5 =5X= 67.5 ===> x = 13.5
Hence dye percentage = 4/9*13.5 = 6
Answer A 6
gmatclubot
Re: Four-ninths of a drink mix is dye and the rest is sugar. Whe &nbs
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67% (02:23) correct 
