Question
450 ml of a mixture contains milk and water in the ratio
of 15 respectively. If 70 ml of water and 80 ml of milk are added into it, then the ratio of milk to water in the resulting mixture will be 3:1. Find the value of ‘y’.Solution
ATQ Quantity of milk in 450 ml of mixture = 450 × 15/(15 + y) Quantity of water in 450 ml of mixture = 450 × y/(y + 15) According to the question: {6750/(15 + y) + 80}/{450y/(y + 15) + 70} = 3/1 Or, 6750/(15 + y) + 80 = 1350y/(y + 15) + 210 Or, (6750 – 1350y)/(y + 15) = 70 Or, 6750 – 1350y = 70y + 1050 Or, 1420y = 5700 Or, y = 4
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