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ID: 3003691 • Letter: X

Question

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Explanation / Answer

Let the quantity of the first fruit drink = x pints

Therefore quantity of the second fruit drink = (180 - x) pints

By the concept of weighted average: Average % = [(% of 1st drink * Q1) + (% of 2nd drink * Q2)] / [Q1 + Q2]

Substituting the values, we get 75 = (70*x) + [95*(180-x)] / 180

Therefore 180*75 = 70x + (95*180) - 95x

95x - 70x = 17100 - 13500

25x = 3600

x = 144 and 180 - x = 36

Therefore 1st Fruit drink = 144 pints

and 2nd fruit drink = 36 pints