A milk vendor has 2 cans of milk. The first can contains 25% water and the rest is milk. The second can contains 50% water. How much milk should he mix from each of the cans respectively so as to get 12 litres of milk such that the ratio of water to milk is 3: 5 in that mixture?

Explanation: ধরি, প্রথম can এ amount আছে 100N এবং দ্বিতীয় can এ amount আছে 100M। প্রথম can এ 75% milk এবং 25% water (75N milk, 25N water)। দ্বিতীয় can এ 50% milk এবং 50% water (50M milk, 50M water)। mixture এ water to milk ratio হতে হবে 3:5। \(\frac{25N+50M}{75N+50M} = \frac{3}{5}\) Or, \(\frac{N+2M}{3N+2M} = \frac{3}{5}\) Or, \(5N+10M = 9N+6M\) Or, \(4N=4M\) Or, \(N=M\)। সুতরাং, mixture এ উভয় can এর সমান amount থাকতে হবে। Total amount 12 litres, so \(6\) litres, \(6\) litres।