14 pounds of mixed nuts sells for $6.21 per pound. The mixture is obtained from two kinds of nuts, peanuts priced at $5.5 per pound and cashews at $6.5 per pound. How many pounds of each variety of nut are used in the mixture?
A)10 pounds of peanuts and 4 pounds of cashews are used in the mixture.
B)6 pounds of peanuts and 4 pounds of cashews are used in the mixture
C)4 pounds of peanuts and 6 pounds of cashews are used in the mixture.
D)4 pounds of peanuts and 11 pounds of cashews are used in the mixture.
E)4 pounds of peanuts and 10 pounds of cashews are used in the mixture.

Question

Quizplus · Accepted Answer

Let x be the number of pounds of peanuts used in the mixture, then the number of pounds of cashews used is 14 - x. We can set up the following equation:

5.5x + 6.5(14 - x) = 6.21(14)

Simplifying and solving for x, we get x = 4. Therefore, 4 pounds of peanuts and 10 pounds of cashews are used in the mixture.

14 Pounds of Mixed Nuts Sells for $6