Question
In a jug, there is a mixture of apple and orange juice
in the ratio of p:3. When 10 liters of Apple 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 orange juice in the mixtureSolution
ATQ, we can say that Let the initial quantity of orange juice = 3m and initial quantity of Apple = xm ATQ, (xm + 10)/3m = 5/3 3xm + 30 = 15m (equation 1) Also (xm + 20)/3m = 7/4 4xm + 80 = 21m (equation 2) Solving equation 1 and 2, we get m =40 Initial quantity of orange juice = 3m =3 × 40 = 120 liters
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