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ratio of milk and water in amixture is 5:4 and 45 litres of mixtures are taken out and 15 litres water is added now quantity of milk in the mixture becomes 4 litres more than that of water then what is the initial quantity of mixture |
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Answer» This question is based on the concept of ratio and proportions. Given: Ratio of milk : water = 5 : 4 ⇒ Milk = 5X ⇒ water = 4x 45 litres of mixture is TAKEN out ⇒ Taking out mixture does not affect the ratio ⇒ Therefore the ratio REMAINS at 5 : 4 15 litres of water is added to the mixture: water = 4x + 15 There are 4 litres more milk than water now: 4x + 15 = 5x + 4 Solve x: 4x + 15 = 5x + 4 x = 11 Find the amount of water and milk after 45 litres have been removed: milk = 5x milk = 5(11) milk = 55 litres water = 4x water = 4(11) water = 44 litres Find the amount of the mixture: mixture = 55 + 44 mixture = 99 litres Find the initial quantity: Initial quantity = 99 + 45 Initial quantity = 144 litres Answer: 144 litres |
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