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In a mixture of 14 litres the ratio of milk to water is 4:3. For the

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Bunuel
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In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink] New post   08 Feb 2021, 08:30
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In a mixture of 14 litres the ratio of milk to water is 4:3. For the ratio to be reversed, find the amount of water to be added further?

A. 14/3
B. 13/3
C. 4
D. 11/3
E. 10/3
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Re: In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink] New post   08 Feb 2021, 08:46
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w=14*3/7=6
m=14-6=8
(6+x)/8=4/3
18+3x=32
3x=14
x=14/3
IMO Answer is A
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Re: In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink] New post   11 Feb 2021, 05:36
can we not solve this question by using the Ci*Vi=Cf*Vf, then the answer should be Vf - Vi, but I'm not getting the. answer by that method
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Re: In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink] New post   10 Apr 2021, 20:06
Bunuel wrote:
In a mixture of 14 litres the ratio of milk to water is 4:3. For the ratio to be reversed, find the amount of water to be added further?

A. 14/3
B. 13/3
C. 4
D. 11/3
E. 10/3


Can someone explain how this could be solved using alligation? Tried and does not seem to work.
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Re: In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink] New post   10 Apr 2021, 20:28
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astiles67 wrote:
Bunuel wrote:
In a mixture of 14 litres the ratio of milk to water is 4:3. For the ratio to be reversed, find the amount of water to be added further?

A. 14/3
B. 13/3
C. 4
D. 11/3
E. 10/3


Can someone explain how this could be solved using alligation? Tried and does not seem to work.


Hi astiles67
Below is the simplest way to solve the problem. Let's see in detail.
gmatcafe wrote:
w=14*3/7=6
m=14-6=8
(6+x)/8=4/3
18+3x=32
3x=14
x=14/3
IMO Answer is A

Given Information:
mixture of 14 litres
ratio of milk to water is 4:3
Wo It means milk (M) = 8 litres & water (W) = 6 litres

Question asked:
For the ratio to be reversed, find the amount of water to be added further

Question says ratio to to be reversed, so new ratio = 3:4 (M:W)
find the amount of water to be added further: means Quantity of milk remains the same in new ratio, only quantity of water will be changed

Lets say new quantity of mixture: 14+X (X is the added water in earlier mixture)
So nwe quantity of milk (M): 8 (No change)
new quantity of water (W): 6+X (X is the added water in earlier mixture)
ratio M:W = 3:4

so \(\frac{8}{6+X} = \frac{3}{4}\)
32 = 18+3X
14 = 3X
\(\frac{14}{3} = X\)
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Re: In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink] New post   23 Aug 2022, 22:35
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Re: In a mixture of 14 litres the ratio of milk to water is 4:3. For the [#permalink]
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