A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, t

Question

A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, the new solution had 50% acid concentration. When 15 litres of acid was further added to this new solution, the final solution had 80% acid concentration. The ratio of water and acid in the original solution was

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Accepted Answer

3 : 5. Let's start from the step when there was 50% concentration. Let's take there to ee 2T solution: T acid and T water. Adding 15 litres of acid increases the acid concentration to 80%, giving the equation T + 15 2 T + 15 = 4 5 \frac{T+15}{2T+15}=\frac{4}{5} 2 T + 15 T + 15 ​ = 5 4 ​ Solving this would