Question

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

Answer 1

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

Answer 2

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.