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In 40 liters of milk and water the ratio of milk and water is 3:1. How

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Math Expert
Joined: 02 Sep 2009
Posts: 58398
In 40 liters of milk and water the ratio of milk and water is 3:1. How  [#permalink]

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30 Jan 2019, 02:38
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85% (01:28) correct 15% (01:46) wrong based on 103 sessions

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In 40 liters of milk and water the ratio of milk and water is 3:1. How much water should be added in the mixture so that the ratio of milk to water becomes 2:1

(A) 8
(B) 6
(C) 5
(D) 4
(E) 3

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Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: In 40 liters of milk and water the ratio of milk and water is 3:1. How  [#permalink]

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30 Jan 2019, 02:59
1
Bunuel wrote:
In 40 liters of milk and water the ratio of milk and water is 3:1. How much water should be added in the mixture so that the ratio of milk to water becomes 2:1

(A) 8
(B) 6
(C) 5
(D) 4
(E) 3

Total = 40 kg

Milk = 30
Water = 10 kg

Let the amount of water be x that we need to add to the existing mixture.

$$\frac{30}{(10 + x)}$$=$$\frac{2}{1}$$

20 + 2x = 30

2x = 10

x = 5.

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Location: India
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Re: In 40 liters of milk and water the ratio of milk and water is 3:1. How  [#permalink]

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30 Jan 2019, 03:04
1
Bunuel wrote:
In 40 liters of milk and water the ratio of milk and water is 3:1. How much water should be added in the mixture so that the ratio of milk to water becomes 2:1

(A) 8
(B) 6
(C) 5
(D) 4
(E) 3

given total 40 ltrs
milk = 3/4 * 40 = 30 ltrs and water = 10 ltrs
so
new ratio
30/(10+x) = 2/1
solve for x
x= 5
IMO C
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Joined: 07 Dec 2014
Posts: 1224
In 40 liters of milk and water the ratio of milk and water is 3:1. How  [#permalink]

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30 Jan 2019, 15:02
Bunuel wrote:
In 40 liters of milk and water the ratio of milk and water is 3:1. How much water should be added in the mixture so that the ratio of milk to water becomes 2:1

(A) 8
(B) 6
(C) 5
(D) 4
(E) 3

let w=amount of water to be added
1/4*40+w=1/3*(40+w)
w=5 liters
C
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Joined: 26 Mar 2013
Posts: 2344
Re: In 40 liters of milk and water the ratio of milk and water is 3:1. How  [#permalink]

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31 Jan 2019, 02:24
1
1
Bunuel wrote:
In 40 liters of milk and water the ratio of milk and water is 3:1. How much water should be added in the mixture so that the ratio of milk to water becomes 2:1

(A) 8
(B) 6
(C) 5
(D) 4
(E) 3

No need to set up equations.

In 40 liters of milk and water, there is 30L of milk and 10L of water

To make it milk to water = 2:1..........then look to answer choices.

If we add only 5L of water then the ration becomes 15/30 = 1/2

Re: In 40 liters of milk and water the ratio of milk and water is 3:1. How   [#permalink] 31 Jan 2019, 02:24
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