10 bags of chips and 8 soda cans cost $15. 5 bags of chips and 5 soda cans cost $8.
How much does a bag of chips cost? How much does a can of soda cost?

One bag of chips costs $1.10

One can of soda costs $0.50

Step-by-step explanation:

1. Create a system of equations (b = bags of chips | s = soda)

10b + 8b = 15

5b + 5s = 8

2. Use the Elimination method by multiplying 5b+5s=8 by -2

10b + 8b = 15

-2(5b + 5s = 8)

=

10b + 8b = 15

- 10b - 10s = -16

(10b and -10b will cancel out, so you will only have s left)

=

-2s = -1

Divide by 2

Soda = 1/2, or $0.50

3. Plug in S (0.50) into an equation above and get B by itself

5b + 5(0.50) = 8

=

5b + 2.5 = 8

     - 2.5    -2.5

5b = 5.5

Bag of Chips = $1.10