Question
150 litres of mixture (milk + water) contains 30% milk.
When 'x' litres of milk and (x - 8) litres of water are added, the ratio of milk to water in the final mixture becomes 5:6. Find the value of '2x'.Solution
ATQ,
Initial quantity of milk = 0.3 × 150 = 45 litres Initial quantity of water = 150 - 45 = 105 litres ATQ: (45 + x) : (105 + x - 8) = 5:6 Or, 6 × (45 + x) = 5 × (97 + x) Or, 270 + 6x = 485 + 5x Or, x = 215 Required value = '2x' = 2 × 215 = 430
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