Vessel ‘A’ contains 150 litres of mixture of milk and water in the ratio of 3:1. Vessel ‘B’ contains 200 litres of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel ‘C’, find the ratio of the resulting mixture.
Choose the correct choice:
A) 15 : 7 B) 8 : 3 C) 15 : 2 D) 143 : 53 E) None of these
Explanation:   As vessel A contains 150 litres of mixture of milk and water in the ratio 3:1, the quantity of milk is 3*150/4 litres, and that of water is 150/4 litres.   Similarly, as vessel B contains 200 litres of mixture of milk and water in the ratio 5:2, the quantity of milk is 5*200/7, and that of water is 2*200/7 litres.   After mixing the total quantity is 350 litres.   The quantity of milk is {(3*150/4) + (5*200/7)} = 7150/28   The quantity of water is {(150/4) + (2*200/7)} = 2650/28   The ratio of the resulting mixture = 7150/2650 = 143 : 53   ANSWER 143 : 53
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Vessel ‘A’ contains 150 litres of mixture of milk and water in the ratio of 3:1. Vessel ‘B’ contains 200 litres of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel ‘C’, find the ratio of the resulting mixture.