Answered

candy corn costs $0.75 per pound and licorice sells for $1.10 per pound. if you are buying 5 pounds of candy corn, how many pounds of licorice would you need to buy to have the mixture's average cost be $0.95 per pound?



Answer :

ayune

If you are buying 5 pounds of candy corn, to make the average cost of the mixture $0.95 per pound, you need to buy 6.67 pounds of licorice.

This is a weighted average problem.

Let:

p = cost of product A

x = number of product A

q = cost of product B

y = number of product B

Then,

cost of mixture of A and B = (p.x + q.y) / (x + y)

Let A = candy corn, B = licorice

Parameters given:

p = $0.75 per pound

x = 5 pound

q = $1.10 per pound

cost of the mixture =$0.95 per pound

Hence,

0.95 = (0.75 . 5 + 1.1 . y) / (5 + y)

4.75 +0.95 y = 3.75 + 1.1 y

0.15 y = 1

y = 6.67 pound

Learn more about weighted average here:

https://brainly.com/question/28042295

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