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The ratio of milk to water in a 208-liter mixture is 3:5. If 70 liters of water and X liters of milk are added to the mixture, then the ratio of milk
Question

The ratio of milk to water in a 208-liter mixture is 3:5. If 70 liters of water and X liters of milk are added to the mixture, then the ratio of milk to water in the resultant mixture becomes 7:10, respectively. Find X.

A.

72

B.

68

C.

62

D.

58

E.

52

Correct option is C

Quantity of milk = 208×38\frac{3}{8}​=78 liters
Quantity of water = 208 - 78 = 130 liters
ATQ,
78+X130+70=710\frac{78 + X}{130 + 70} = \frac{7}{10}
78 + X = 140
X = 62

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