The manager of a bulk food establishment sells a trail mix for $9 per pound and premium cashews for $13 per pound. The manager wishes to make 200 pounds of Trail Mix cashew mixture that will sell for $10 per pound. How many pounds of each should be used?

Answer

Pounds of trials = 150

Pounds of cashews = 50

Explanation

Let x be the number of pounds sold for trials and

y be the number of pounds for cashews.

x + y = 200 ... (i)

(9x + 13y) / (x+y) = 10

9x + 13y = 10 (x+y)

9x + 13y = 10x + 10y

13y - 10y = 10x - 9x

x = 3y ... (ii)

Substituting equation (ii) to equation (i).

x + y = 200

3y + y = 200

4y = 200

y = 50

x = 3 (50)

x = 150