Question

Use the four-step procedure to solve the following problem.

How much water must be added to a gallon of 10% saline solution to create a 2% solution?

1. There is 1 gallon of _____ % solution.
2. There is _____% saline in water.
3. The equation is ________.
4. The answer is ______ gallons.

Answer 1

4 gallons of water.

Explanation:

1. There is 1 gallon of 10% solution

2. There is 2% saline in water

3. The equation is 10% of 1 gallon = 2% of solution of x gallons of water + saline

0.1 = 0.02(x + 1)

Subtracting 0.02 from both sides, we get

0.1 -0.02= 0.02x +0.02 -0.02

0.08 = 0.02x

Dividing both sides by 0.02, we get

0.08/0.02 = 0.02x/0.02

x = 4.

4. The answer is 4 gallons of water.

Hope you will understand the concept.

Thank you.