Question

The manager of the candy shop sells chocolate covered peanuts for $8 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make 60 pounds of cashews to get a cashew peanut mixture that will sell for $10 per pound how many pounds of peanuts should be used?

Answer 1

30 lb of peanuts

Explanation:

Peanuts for $6 per pound and chocolate-covered cashews for $9.The manager wishes to mix 60 pounds of the cashews for a mixture that will sell for $8 per pound. How many pounds of peanuts should be used

x = amt of peanuts required

A typical mixture equation

6x + 9(60) = 8(x+60)

6x + 540 = 8x + 480

540 - 480 = 8x - 6x

60 = 2x

x = 60/2

x = 30 lb of peanuts

:

:

Check solution

6(30) = 9(60) = 8(30+60)

180 + 540 = 8(90)