Can A and Can B contain a mixture of soda and water in the ratio 5:3 and 7:2 respectively. If soda and water are taken out in the ratio of P:Q from can A and B respectively to form a new mixture in which the ratio of soda and water is 12:5, then find the value of P:Q.

Correct answer: 8:9

Solution

This is a mixture-removal problem. By expressing soda and water fractions in each can and equating the final mixture ratio 12:5, the required proportion of quantities taken from cans A and B is obtained as 8:9.

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