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What quantity of water should be mixed with 12 litres of 88% milk

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What quantity of water should be mixed with 12 litres of 88% milk  [#permalink]

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New post 25 Nov 2019, 03:34
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A
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C
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  45% (medium)

Question Stats:

59% (01:59) correct 41% (02:27) wrong based on 32 sessions

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What quantity of water should be mixed with 12 liters of 88% milk solution to obtain a 48% milk solution?

(A) 8.4 liters
(B) 9.2 liters
(C) 10 liters
(D) 13.6 liters
(E) 14 liters
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What quantity of water should be mixed with 12 litres of 88% milk  [#permalink]

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New post 26 Nov 2019, 09:43
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CaptainLevi wrote:
What quantity of water should be mixed with 12 liters of 88% milk solution to obtain a 48% milk solution?

(A) 8.4 liters
(B) 9.2 liters
(C) 10 liters
(D) 13.6 liters
(E) 14 liters


Since the quantity of milk remains constant initially and after adding water we can form an equation:
Let \(w\) be the quantity of water added.

\(\frac{88}{100}*12= \frac{48}{100}* ( 12+w )\)
Solving the above we get \(w= 10\)

Ans- C
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Re: What quantity of water should be mixed with 12 litres of 88% milk  [#permalink]

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New post 02 Dec 2019, 20:41
CaptainLevi wrote:
What quantity of water should be mixed with 12 liters of 88% milk solution to obtain a 48% milk solution?

(A) 8.4 liters
(B) 9.2 liters
(C) 10 liters
(D) 13.6 liters
(E) 14 liters


We have 0.88 x 12 = 10.56 liters of milk and 1.44 liters of water. We can let the amount of water to be added = w and create the equation:

48/100 = 10.56/(12 + w)

48(12 + w) = 1056

576 + 48w = 1056

48w = 480

w = 10

Alternate Solution:

To 12 liters of 88% milk solution, we will add x liters of 0% milk (all water), obtaining (12 + x) liters of 48% milk solution. We can express this in an equation:

(12)(0.88) + x(0) = (12 + x)(0.48)

10.56 + 0 = 5.76 + 0.48x

4.8 = 0.48x

10 = x

Answer: C
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Re: What quantity of water should be mixed with 12 litres of 88% milk   [#permalink] 02 Dec 2019, 20:41
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