Find the cost of each item.

Question

A vendor sells hot​ dogs, bags of potato​ chips, and soft drinks. A customer buys 3 hot​ dogs, 2 bags of potato​ chips, and 4 soft drinks for ​$13.50. The price of a hot dog is ​$1.25 more than the price of a bag of potato chips. The cost of a soft drink is $2.50 less than the price of two hot dogs.

Answer 1

Let h be the price of hot dogs, p be the price of potato chips, and s be the price of soft drinks. (All in dollars)

From the first piece of information, you get the equation, 3h + 2p + 4s = 13.50

From the second piece of information, you get the equation, h = p + 1.25

From the last piece of information, you get the equation, s = 2h - 2.50

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