Solve the problem.
-The manager of a candy shop sells chocolate covered peanuts for $6 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 $12 per
Pound. How many pounds of each should be used?
A) 30 pounds of peanuts
B) 60 pounds of peanuts 90 pounds of cashews 60 pounds of cashews
C) 105 pounds of peanuts
D) 90 pounds of peanuts 15 pounds of cashews 30 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 have the following system of equations:x + y = 120 (total weight)6x + 14y = 12(120) (total cost)Solving the first equation for x, we get:x = 120 - ySubstituting this into the second equation, we get:6(120 - y) + 14y = 12(120)720 - 6y + 14y = 14408y = 720y = 90Substituting this back into the first equation, we get:x + 90 = 120x = 30Therefore, the manager should use 30 pounds of peanuts and 90 pounds of cashews.

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