Two vessels contain mixtures of milk and water in the ratios 3:2 and 7:3, respectively. In what ratio should these mixtures be mixed so that the resulting mixture has milk and water in the ratio 5:3?
Show answer & explanation
Correct answer: C
Explanation
Given:
Milk : Water in the first mixture = 3 : 2
Milk : Water in the second mixture = 7 : 3
Milk : Water in the resulting mixture = 5 : 3
Formula:
Alligation rule using milk's share in the mixture
Share of milk in the first mixture = 3/(3 + 2) = 3/5
Share of milk in the second mixture = 7/(7 + 3) = 7/10
Share of milk in the resulting mixture = 5/(5 + 3) = 5/8
First : Second = (7/10 − 5/8) : (5/8 − 3/5)
= (56/80 − 50/80) : (50/80 − 48/80) = 3 : 1