SOLUTION: A vendor sells hot dogs and bags of potato chips. A customer buys 2 hot dogs and 3 bags of potato chips for $7.00. Another customer buys 4 hot dogs and 5 bags of potato chips for

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Question 1077899: A vendor sells hot dogs and bags of potato chips. A customer buys 2 hot dogs and 3 bags of potato chips for $7.00. Another customer buys 4 hot dogs and 5 bags of potato chips for 13.00. Find the cost of each item.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
h = price of one hot dog
c = price of one bag of potato chips

2h + 3c = 7 (eqn 1)
4h + 5c = 13 (eqn 2)

Multiply equation (1) by 5 and equation (2) by -3.

10h + 15c = 35
-12h - 15c = -39

Add to get -2h = -4, so h = 2 and c = 1.

A hot dog costs $2 and a bag of chips costs $1.