Question
In a jug, there is a mixture of apple and orange juice
in the ratio of 1:3. When 10 liters of Apple juice are added, the ratio of apple to orange juice becomes 5:3. Adding 20 liters of apple changes the ratio of apple to orange juice to 7:4. Determine the initial quantity of Apple juice in the mixtureSolution
ATQ, we can say that. Let the initial quantity of orange juice = 3x and the initial quantity of Apple = x ATQ, (x + 10)/3x = 5/3 3x + 30 = 15x (equation 1) Also (x + 20)/3x = 7/4 4x + 80 = 21x (equation 2) Solving equation 1 and 2, we get x =40 Initial quantity of orange juice = x = 40 = 40 liters
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