Question

Solution Y is 25 percent liquid X and 75 percent water. If 5 kilograms of water evaporate from 12 kilograms of solution Y and 3 kilograms of solution Y are added to the remaining liquid, what percent of this new solution is liquid X? Express your answer as a mixed number.

Answer 1

Answer:

Percent of the liquid X in the new solution = 37.5%

Explanations:

Percentage composition of liquidX in solution Y = 25%

Percentage composition of water in solution Y = 75%

Amount of solution Y = 12 kg

The amount of liquidX in 12 kg of solution Y = (25/100) x 12 = 3 kg

The amount of water in 12 kg of solution Y = (75/100) x 12 = 9 kg

5 kg of water evaporates from the 12 kg of solution Y:

The amount of water left = 9 kg - 5kg = 4 kg

3 kg of solution Y are added to the remaining liquid:

Amount of liquid X remaining = (0.25 x 3) + 3 = 3.75 kg

Amount of water remaining = (0.75 x 3) + 4 = 6.25 kg

Amount of solution Y remaining (new solution) = 3.75 + 6.25 = 10 kg

Percent of the liquid X in the new solution = (3.75/10) x 100

Percent of the liquid X in the new solution = 37.5%