How much water must be added to 3 liters of a 47% saline solution to dilute it to a 32% saline solution? Round answer to nearest tenth of a liter.
A)1.2 liters
B)1.4 liters
C)1.6 liters
D)1.8 liters
E)2.0 liters

Question

Quizplus · Accepted Answer

First, let's calculate how much salt is in the original 3 liters of 47% saline solution:

3 liters x 0.47 = 1.41 liters of salt

Now, we want to dilute this solution to a 32% saline solution. Let's set up the equation:

1.41 liters of salt / (3 liters + x liters of water) = 0.32

Solving for x:

1.41 / 0.32 = 4.41

4.41 - 3 = 1.41 liters of water

So we need to add 1.41 liters of water to the original 3 liters of 47% saline solution to dilute it to a 32% saline solution. Rounded to the nearest tenth, that comes out to 1.4 liters. Therefore, the best choice is B.

How Much Water Must Be Added to 3 Liters of a 47