Six cans of soda and two bags of potato chips cost $7.08. And eight cans of soda and five bags of potato chips cost $12.45.What is the price per can for the soda, and price per bag of potato chips?

Question

chaise · Answer

Let s = soda
Let c = chips

6s + 2c = 7.08
8s + 5c = 12.45

Multiply the top equation by 4.
Multiply the bottom equation times 3.

24s + 8c = 28.32
24s + 15c = 37.35

Take away them from eachother.

-7c = -9.03
c = -9.03/7
c = 1.29

Substitute this back into your original equation.

If c = 1.29
6s + 2c = 7.08
6s + 2(1.29) = 7.08
6s + 2.58 = 7.08
6s = 4.5
s = 0.75

Chips are $1.29 and cans of soda are $0.75

chaise · Answer

If you need help with any of this let me know and I would be happy to explain it to you :)