Question

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

Answer 1

20 quarts of peanut oil worth 19 cents per quart must be mixed.

Explanation

Lets assume, x quarts of peanut oil worth 19 cents per quart must be mixed.

Now we are mixing 100 quarts of another peanut oil worth 25 cents per quart with that x quarts. So, the total amount of the mixture $=(x+100)$ quarts, which will worth 24 cents per quart.

Total price of x quarts oil $= 19x$ cents

Total price of 100 quarts oil $= (100*25)cents = 2500$ cents

and total price of the mixture $=24(x+100)$ cents

So the equation will be :

$19x+2500 = 24(x+100)\\ \\ 19x+2500 = 24x +2400\\ \\ 19x-24x = 2400-2500\\ \\ -5x = -100\\ \\ x= \frac{-100}{-5}= 20$

So, 20 quarts of peanut oil worth 19 cents per quart must be mixed.

Answer 2

20 quarts of peanut oil worth 19 cents a quart are needed.