# How many quarts of olive oil did they use? (see below) Thanks!

##### 1 Answer

Solved for one of the volumes. I will let you solve for the other by subtraction.

#### Explanation:

To maintain a high level of precision I will stick with fractions.

Rounding decimals can lead to accumulated errors. So if you wish to use decimals convert the fractions at the very end.

Let the volume of 30% oil be

Let the volume of 79% oil be

Let the volume of the blended be

For now ignore the units of quarts.

When blended for total volume we have:

When blended for % of oil volume content we have (in quarts):

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

In

I choose to substitute for

From

Using

Having a common denominator of 2000 gives:

Multiply both sides by 2000

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

Using

I will let you finish that off.