Question

A store is having a sale on chocolate chips and walnuts. For
5
pounds of chocolate chips and
2
pounds of walnuts, the total cost is
$10
. For
3
pounds of chocolate chips and
8
pounds of walnuts, the total cost is
$23
. Find the cost for each pound of chocolate chips and each pound of walnuts.

Answer 1

$1 chocolate and $2.5 walnuts
5c+2w=10
3c+8w=23

elimination 

-4(5c+2w=10) =-20c-8w=-40  + 3c+8w=23

=-17c=-17
c=1

5(1)+2w=10
2w=5
w=2.5