You have 5 liters of Solution A, which is 50% diluted, and 15 liters of Solution B, which is 20% diluted. How much of Solution B must be added to Solution A to make Solution A 55% diluted?(1 point)

Question

1. 105 liters
2. The answer is extraneous
3. -105 liters
4. 0.71 liters

Answer 1

Let's set up the equation to solve for the amount of Solution B needed.

Let x represent the amount of Solution B needed in liters.

The total amount of the solution after mixing is (5 + x) liters.

The equation is:
0.5(5) + 0.2(15) = 0.55(5 + x)

2.5 + 3 = 2.75 + 0.55x

5.5 = 2.75 + 0.55x

2.75 = 0.55x

Dividing both sides by 0.55 gives:
x = 5

Therefore, the correct answer is 5 liters. So, 5 liters of Solution B must be added to Solution A to make Solution A 55% diluted.