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Solution Y consists of water and liquid X. The ratio of water to X in 28 kg of solution Y is 2 to 5. If 2 kg of water are added to the solution, what is the ratio of liquid X and water in the new solution?

(A) 1:2

(B) 1:3

(C) 1:1

(D) 2:1

(E) 3:1

Breaking Down the Info:

The ratio of \(Water:X:Y\) is \(2:5:7\). Then we know \(\frac{2}{7}\) of Y is water, hence \(\frac{2}{7}*28 = 8 \text{ kg}\) is water.

After adding 2 kg of water, we would have 10 kg water and 20 kg of X. Then the ratio is \(20:10 = 2:1\).

Answer: D
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Solution Y consists of water and liquid X. The ratio of water to X in 28 kg of solution Y is 2 to 5. If 2 kg of water are added to the solution, what is the ratio of liquid X and water in the new solution?

Quantity of Water in Solution Y = (2/[2+5]) * 28 = (2/7) * 28 = 8 kg
Now, Quantity of liquid X in Solution Y = 28-8 = 20 kg

After modification,
Quantity of Water in Solution Y = 8 + 2 = 10 kg

Ration of liquid X and water in the new solution = 20:10=2:1

Hence D
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