The vessels contain water and milk in the ratio 1:2 and 2:5 are mixed : Problem Solving (PS)

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The vessels contain water and milk in the ratio 1:2 and 2:5 are mixed

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Joined: 02 Sep 2009

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The vessels contain water and milk in the ratio 1:2 and 2:5 are mixed [#permalink]

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29 Jan 2019, 05:11

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Difficulty:

65% (hard)

Question Stats:

50% (02:58) correct

50% (02:34) wrong

based on 32 sessions

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The vessels contain water and milk in the ratio 1:2 and 2:5 are mixed in the ratio 1:4. The resulting mixture will have water and milk in the ratio.

(A) 31:74
(B) 31:75
(C) 30:77
(D) 30:74
(E) 31:77

Spoiler: OA

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Re: The vessels contain water and milk in the ratio 1:2 and 2:5 are mixed [#permalink]

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29 Jan 2019, 05:23

Bunuel wrote:

The vessels contain water and milk in the ratio 1:2 and 2:5 are mixed in the ratio 1:4. The resulting mixture will have water and milk in the ratio.

(A) 31:74
(B) 31:75
(C) 30:77
(D) 30:74
(E) 31:77

Quantity of water in the resultant mixture
1*1/3 + 4*2/7 = 1/3 + 8/7 = 31/21

Quantity of milk in the resultant mixture
1*2/3 + 4*5/7 = 2/3 + 20/7 = 74/21

Required ratio
31/21 : 74/21
= 31 : 74
IMO A
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