Solve the problem.
-The manager of a candy shop sells chocolate covered peanuts for $10 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 120-pound cashew-peanut mixture that will sell for $11 per
Pound. How many pounds of each should be used?
A)60 pounds of peanuts
B)75 pounds of peanuts 60 pounds of cashews 45 pounds of cashews
C)90 pounds of peanuts
D)30 pounds of peanuts 30 pounds of cashews 90 pounds of cashews

Question

Quizplus · Accepted Answer

Let x be the number of pounds of peanuts and y be the number of pounds of cashews.
We are given:
x + y = 120 (total mixture is 120 pounds)
10x + 14y = 11(120) (the value of the mixture is $11 per pound)

Solving these equations, we get:
x = 90
y = 30

Therefore, the manager should use 90 pounds of peanuts and 30 pounds of cashews to make the desired 120-pound mixture that will sell for $11 per pound.

Solve the Problem. -The Manager of a Candy Shop Sells Chocolate Covered Peanuts