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A milk vendor has 2 cans of milk. The first contains 25% water and the

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A milk vendor has 2 cans of milk. The first contains 25% water and the  [#permalink]

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New post 05 Feb 2019, 06:52
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Question Stats:

72% (02:44) correct 28% (03:22) wrong based on 25 sessions

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A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

A. 4 litres, 8 litres
B. 6 litres, 6 litres
C. 5 litres, 7 litres
D. 7 litres, 5 litres
E 8 litres, 7litres
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Re: A milk vendor has 2 cans of milk. The first contains 25% water and the  [#permalink]

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New post 05 Feb 2019, 07:15
To answer this question, let's match up the percentages of water in the two milk mixtures with the ratio that we want to achieve.

The ratio that we want to achieve is 3:5, water to milk.

So, we want 3/8 water and 5/8 milk.

To answer the question, let's focus on the water, since, if 3/8 of the mixture is water, the other 5/8 will have be milk.

The mixes that we have are 25% water and 50% water. Let's express them in 8ths as well.

The first mix is 2/8 water. The second mix is 4/8 water.

We want 3/8 water, and since 3/8 is halfway between 2/8 and 4/8, this question is turning out to be pretty easy.

By using allegation, we can determine that we have to use equal quantities of the two mixtures.

The correct answer is (B).
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Re: A milk vendor has 2 cans of milk. The first contains 25% water and the  [#permalink]

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New post 05 Feb 2019, 07:34
thx for the solution, so useful
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Re: A milk vendor has 2 cans of milk. The first contains 25% water and the  [#permalink]

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New post 05 Feb 2019, 20:41
dharam44 wrote:
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

A. 4 litres, 8 litres
B. 6 litres, 6 litres
C. 5 litres, 7 litres
D. 7 litres, 5 litres
E 8 litres, 7litres


Another quick way to solve could be-

3:5 ratio of 12l water:milk ==>4.5l water and 7.5l milk
Now see option A-it has 1l+2l=3l water this is not the solution
Option B-1.5l+3l water=4.5l water this is the answer
(you can also check other options to confirm that they don't give the same answer,but they won't since the question has a unique solution)
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Re: A milk vendor has 2 cans of milk. The first contains 25% water and the   [#permalink] 05 Feb 2019, 20:41
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A milk vendor has 2 cans of milk. The first contains 25% water and the

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