Question

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. For 3 pounds of jelly beans and 2 pounds of trailmix the total cost is $10. Find the cost for each pound of jelly beans and each pound of trailmix

Answer 1

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