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# What is the quantity of milk in the solution?

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Intern
Joined: 12 Apr 2018
Posts: 4
What is the quantity of milk in the solution?  [#permalink]

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Updated on: 12 Apr 2018, 23:03
In a milk solution of 10 lit, 2 lit of water is added thereby the concentration of milk is reduced by 15%. What is the quantity of milk in the solution?

I tried:

Concentration - Water added - Milk:

100 - 0 - 10 liter

85 - 0 - ?

$$\frac {85\times10}{100} = 8.5$$

But Answer is 9 litres. Please tell how to solve this problem?

Originally posted by kingston123 on 12 Apr 2018, 08:21.
Last edited by kingston123 on 12 Apr 2018, 23:03, edited 1 time in total.
Director
Joined: 30 Jan 2016
Posts: 921
Location: United States (MA)
Re: What is the quantity of milk in the solution?  [#permalink]

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12 Apr 2018, 22:50
1
Milk_____x_______0_______x
Water___10-x_____2_______12-x
Total_____10______2_______12

So, the initial concentration of milk is $$\frac{x}{10}$$. It is $$\frac{15}{100}$$ more than the new concentration $$\frac{x}{12}$$ => $$\frac{x}{10}$$- $$\frac{15}{100}$$ = $$\frac{x}{12}$$. Solving this equation x equals 9 liters

Hope this helps!
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Re: What is the quantity of milk in the solution?   [#permalink] 12 Apr 2018, 22:50
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