Question

A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?

Answer 1

Answer: 1/3 pound pecans and 2/3 pound walnuts.

Explanation: 

x ==> weight of walnuts
y ==> weight of pecans

║ x + y = 1 
║ 8x +2y = 6

║ x = 1 - y
║ 8x + 2y = 6

8(1 - y) + 2y = 6

8 - 8y + 2y  = 6

6y = 2

y = 1/3

x = 1 - 1/3 = 2/3