Question

How many quarts of peanut oil worth 19 cents a quart should you mix with 100 quarts worth 25 cents a quart to produce a mixture that is worth 24 cents a quart?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the number of quarts of peanut oil worth 19 cents a quart that should be mixed with 100 quarts worth 25 cents a quart.

The total cost of the peanut oil worth 19 cents a quart is 0.19x dollars.
The total cost of the peanut oil worth 25 cents a quart is 0.25(100) = 25 dollars.

The total cost of the mixture is the sum of the costs of the two types of oil, which should equal the cost of the final mixture:
0.19x + 25 = (x + 100)(0.24)

Now, we can solve for x:
0.19x + 25 = 0.24x + 24
0.01x = 1
x = 100

Therefore, you should mix 100 quarts of peanut oil worth 19 cents a quart with the 100 quarts worth 25 cents a quart to produce a mixture that is worth 24 cents a quart.