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Question 55
Two solutions of acid and water containing acid and water in the ratio 2 : 7 and 4 : 5, respectively are mixed in the ratio 2 : 5. What is the ratio of acid and water in the resulting solution?
Solution
acid content in 1st solution 2/9
acid content in second solution=4/9
They are mixed in the ratio 2:5
x is the acid present in the final mixture
By using the principle of allegations we have
((4/9)-x)/(x-(2/9))=2/5
(20/9)-5x=2x-(4/9)
7x=24/9
x=8/21
8 parts of acid and 13 parts of water.
Ratio=8/13
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