Question
A mixture 'P' consists of juice and milk in a ratio of
6:5. If 33 ml of this mixture is removed and 20 ml of milk is added, the ratio of juice to milk in the new mixture becomes 6:7. Find the initial amount of juice in the mixture.Solution
Let the quantity of juice and milk after taking out 33 ml of mixture be 6x ml and 5x ml respectively. So, quantity of milk after adding 20 ml milk = (5x + 20) ml ATQ, 6x:(5x + 20) = 6:7 Or, 5x + 20 = 7x So, 2x = 20 Or, x = 10 So, quantity of mixture after taking out 33 ml of mixture = 6x + 5x = 11x = 110 ml Initial quantity of mixture = 110 + 33 = 143 ml So, initial quantity of Juice = 143 X (6/11) = 78 ml
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