Answer: amount of nuts = 2 pounds amount of dried fruit = 4 pounds
Explanation: We are given that x is the amount of nuts and y is the amount of dried fruit. We are also given that: 1- Hunter needs to make 6 pounds of trail mix. This means that: x + y = 6 This can be rewritten as: x = 6 - y .........> equation I 2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that: 4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows: 4x + 3.5y = 22 4(6-y) + 3.5y = 22 24 - 4y + 3.5y = 22 24-22 = 4y-3.5y 2 = 0.5y y = 4 pounds
Substitute with y in equation I to get the value of x as follows: x = 6-y x = 6-4 x = 2 pounds
