A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost is 10.00. For 8 pounds of walnuts and 3 pounds of chocolate chips, the total cost is 23.00. Find the cost for each pound of walnuts and each pound of chocolat chips

1. 2w+5c=10

2. 8w+3c=23

Simplify the first equation: w = (10-5c) / 2

Substitute: 8 ((10-5c) / 2) + 3c=23

Simplify: (80-40c) / 2+3c=23

40-20c+3c=23,

17c=17, 1 pound of chocolate chips is $1

Substitute: 2w+5=10, 1 pound of walnuts is $2.50

It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.

I know this hold true because when we multiply $2.50 by 2, we get $5, and add that to the other $5 from the chocolate chips and we will get $10. We can also multiply $2.50 by 8 and add $3 from chocolate chips to get $20 + $3, or $23.