Answer:each pound of jelly beans cost $2.5
Each pound of trailmix cost $1.25
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.
A stores having a sale on jelly beans and trail mix for 8 pounds of jelly beans and 4 pounds of trail mix the total cost is $25. This means that
8x + 4y = 25 - - - - - - -1
For 3 pounds of jelly beans and 2 pounds of trailmix the total cost is $10. This means that
3x + 2y = 10 - - - - - - - - 2
Multiplying equation 1 by 3 and equation 2 by 8, it becomes
24x + 12y = 75
24x + 16y = 80
Subtracting,
- 4y = -5
y = - 5/ -4 = 1.25
Substituting y = 1.25 into equation 2, it becomes
3x + 2×1.25 = 10
3x + 2.5 = 10
3x = 10 - 2.5 = 7.5
x = 7.5/3 = 2.5
