Answer: the cost of one pound of Jelly bean is $2.5
the cost of one pound of trail mix is $1.5
Step-by-step explanation:
Let x represent the cost of one pound of Jelly bean.
Let y represent the cost of one pound of trail mix.
For 5 pounds of jelly beans and 3 pounds of trail mix, the total cost is $17. It means that
5x + 3y = 17- - - - - - - - - - -1
For 2 pounds of jelly beans and 12 pounds of trail mix, the total cost is $23. It means that
2x + 12y = 23- - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 5, it becomes
10x + 6y = 34
10x + 60y = 115
Subtracting, it becomes
- 54y = - 81
y = - 81/ - 54
y = 1.5
Substituting y = 1.5 into equation 1, it becomes
5x + 3 × 1.5 = 17
5x + 4.5 = 17
5x = 17 - 4.5 = 12.5
x = 12.5/5
x = 2.5
