A store is having a sale on walnuts and chocolate chips. For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17. For 2 pounds of walnuts and 12 pounds of chocolate chips, the total cost is $23. Find the cost for each pound of walnuts and each pound of chocolate chips.

Let's w is pound of walnuts and c is pound of chocolate chips

5w + 3c = 17

2w + 12c = 23 - - > w = - 2 + 12c

5w + 3c = 17

5 (-2) + 12c + 3c = 17

-10 + 15c = 17

15c = 17 + 10

15c = 27

c = 1.8 (cost for each pound of chocolate chip)

5w + 3c = 17

5w + 3 (1.8) = 17

5w + 5.4 = 17

5w = 17 - 5.4

5w = 11.6

w = 2.32 (cost for each pound of walnut)

Hope it useful.