9
algebra

How much 40% saline solution must be added to 30 liters of 10% saline to create a 25% solution?

A

25 liters

B

30 liters

C

35 liters

D

40 liters

Correct Answer: B

Choice B is the correct answer. Let xx = liters of 40% solution.

Equation: 0.10(30)+0.40x=0.25(30+x)0.10(30) + 0.40x = 0.25(30 + x)3+0.40x=7.5+0.25x3 + 0.40x = 7.5 + 0.25x0.15x=4.50.15x = 4.5x=30x = 30

Solution: 30 liters

Verification: 0.10(30)+0.40(30)30+30=3+1260=1560=0.25\frac{0.10(30) + 0.40(30)}{30 + 30} = \frac{3 + 12}{60} = \frac{15}{60} = 0.25

💡 Strategic Tip: Amount of solute = concentration × volume.