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Milk, water and sugar syrup are mixed in a ratio of 9 ∶ 4 ∶ 1, and it is 84 litres. Now, more water and sugar syrup is added to make the ratio 9 ∶ 6 ∶ 2. What is the amount of milk and sugar syrup?

Milk, water and sugar syrup are mixed in a ratio of 9 ∶ 4 ∶ 1, and it is 84 litres. Now, more water and sugar syrup is added to make the ratio 9 ∶ 6 ∶ 2. What is the amount of milk and sugar syrup?

1). 48 litres
2). 60 litres
3). 66 litres
4). 90 litres

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Guest · Answer 1 · 2019-07-01 20:25:06

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

Guest · Answer 2 · 2019-07-01 20:25:06

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

Milk, water and sugar syrup are mixed in a ratio of 9 ∶ 4 ∶ 1, and it is 84 litres. Now, more water and sugar syrup is added to make the ratio 9 ∶ 6 ∶ 2. What is the amount of milk and sugar syrup?

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