A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $35. For 3 pounds of trail mix and 2 pounds of jelly beans the total cost is $15. Find the cost for each pound of trail mix and each pound of jelly beAns

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15 = > 2j = 15 - 3t

5t + 3 (15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t = - 10

4t = 10

t = 2.5

3 (2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75