How many quarts of peanut oil worth 19 cents a quart must be mixed with 100 quarts worth 25 cents a quart to produce a mixture which will be worth 24 cents a quart?

Answer: 20 quarts of peanut oil worth 19 cents a quart must be mixed.

Step-by-step explanation:

Let x represent the number of quarts of peanut oil worth 19 cents a quart that would be in the mixture.

The total number of quarts in the mixture would be x + 100

The cost of the x quarts would be x * 19 = 19x cents

The cost of 100 quarts of the other peanut oil would be 25 * 100 = 2500 cents

The cost of the mixture would be

24 (x + 100) = 24x + 2400

Therefore, the equation would be

19x + 2500 = 24x + 2400

24x - 19x = 2500 - 2400

5x = 100

x = 100/5

x = 20

20 quarts