Answer: the cost is one pound of trail mix is $2.25
the cost is one pound of jelly beans is $3.25
Explanation:
Let x represent the cost is one pound of trail mix.
Let y represent the cost is one pound of jelly beans.
For 3 pounds of trail mix and 5 pounds of jelly beans, the total cost is $23. It means that
3x + 5y = 23- - - - - - - - - - - - - 1
For 6 pounds of trail mix and 2 pounds of jelly beans, the total cost is $20. It means that
6x + 2y = 20- - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
6x + 10y = 46
6x + 2y = 20
Subtracting, it becomes
8y = 26
y = 26/8
y = 3.25
Substituting y = 3.25 into equation 1, it becomes
3x + 5 × 3.25 = 23
3x + 16.25 = 23
3x = 23 - 16.25
3x = 6.75
x = 6.75/3
x = 2.25