1.

1). 48 litres2). 60 litres3). 66 litres4). 90 litres

Answer»

MILK ? Water ? Sugar syrup = 9 ? 4 ? 1

Amount = 84 litres

Amount of milk = $(\FRAC{9}{{14}} \TIMES 84 = 54)$ litres

Amount of water = $(\frac{4}{{14}} \times 84 = 24)$ litres

Amount of sugar syrup = $(\frac{1}{{14}} \times 84 = 6)$ litres

Let x be amount of water added and y be amount of sugar syrup, such that RATIO of mixture becomes 9 ? 6 ? 2.

54 ? (24 + x) ? (6 + y) = 9 ? 6 ? 2

Now, 54 ? (24 + x) = 9 ? 6

∴ (54)(6) = (24 + x)(9)

∴ x = 12 litres

Also, 54 ? (6 + y) = 9 ? 2

∴ (54)(2) = (6 + y)(9)

∴ y = 6 litres

Amount of water = 24 + 12 = 36

Amount of sugar syrup = 6 + 6 = 12 litres

Amount of milk and sugar syrup = 54 + 12 = 66 litres



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