Multiple choice

How many liters of a solution that is 15 percent salt must be added to 5 liters of a solution that is 8 percent salt so that the resulting solution is 10 percent salt?

  1. 3

  2. 5

  3. 2

  4. 4

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount of 15% solution. 0.15x + 0.08(5) = 0.10(x + 5). 0.15x + 0.4 = 0.10x + 0.5. 0.05x = 0.1. x = 2.

AI explanation

Using the method of alligation, the ratio of the 8 percent solution to the 15 percent solution is (15 minus 10) to (10 minus 8), which is 5 to 2. This means for every 5 liters of the 8 percent solution, 2 liters of the 15 percent solution are required. Since there are 5 liters of the 8 percent solution, exactly 2 liters of the 15 percent solution must be added. The required quantity is 2 liters.