Question

How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixed nuts that cost $10.25 per pound.

Answer 1

9514 1404 393

Answer:

5 pounds

Explanation:

The target price is the average of the other two prices, so equal quantities of each kind of nut will go into the mix. (14+6.50)/2 = 20.50/2 = 10.25

5 pounds of cashews

_____

Let c represent the number of pounds of cashews. Then the cost of the mix will be ...

14c + 5(6.50) = 10.25(c +5)

14c +32.50 = 10.25c +51.25

3.75c = 18.75 . . . . . . . subtract (10.25c +32.50)

c = 5 . . . . . . . . . . . . . divide by 3.75

5 pounds of cashews must be mixed with the peanuts.