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What is the quantity of milk in the solution?

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

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New post Updated on: 13 Apr 2018, 00:03
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, 09:21.
Last edited by kingston123 on 13 Apr 2018, 00:03, edited 1 time in total.
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Director
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Re: What is the quantity of milk in the solution?  [#permalink]

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New post 12 Apr 2018, 23:50
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? &nbs [#permalink] 12 Apr 2018, 23:50
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