# Sharon has two solutions available in the lab, one solution with 6% alcohol and another with 11% alcohol. How much of each should she mix together to obtain 10 gallons of a solution that contains 7% alcohol?

##### 1 Answer

#### Answer:

8 gallons at 6%

2 gallons at 11%

#### Explanation:

Let the solution measure of 6% concentration be

Let the solution measure of 11% concentration be

For concentrations we have:

For volume we have:

Thus

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Use

From this