The manager of a candy shop sells chocolate covered peanuts for $\$ 7$ per pound and chooolate covered cashews for $\$ 14$ per pound. The manager wishes to make a 210- pound cashew- peanut mixture that will sell for $\$ 8$ per pound. How many pounds of each should be used?
A) 120 pounds of peanuts
90 pounds of cashews
B) 105 pounds of peanuts 105 pounds of cashews
C) 180 pounds of peanuts 30 pounds of cashews
D) 30 pounds of peanuts 180 pounds of cashews

Question

Quizplus · Accepted Answer

The correct answer can be found using the method of weighted averages or a system of equations. Let $x$ be the pounds of peanuts and $y$ be the pounds of cashews. We have two equations: $x + y = 210$ (total weight) and $7x + 14y = 8 \times 210$ (total cost). Solving these equations gives us $x = 180$ and $y = 30$, which corresponds to choice C.

The Manager of a Candy Shop Sells Chocolate Covered Peanuts $7\$ 7$7

The Manager of a Candy Shop Sells Chocolate Covered Peanuts $\$ 7$