Solve the problem.
-A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 5 hot dogs, 5 bags of potato chips, and 2 soft drinks for $11.50. The price of a hot dog is $1.00 more than the price of a bag of potato chips. The cost of a soft drink is $2.25 less than the price of two hot dogs. Find the cost of each item.

Question

Quizplus · Accepted Answer

Let the price of a bag of potato chips be $x$. Then, the price of a hot dog is $x + 1.00$, and the price of a soft drink is $2(x + 1.00) - 2.25$. The equation for the total purchase is $5(x + 1.00) + 5x + 2(2(x + 1.00) - 2.25) = 11.50$. Solving this equation gives $x = 0.50$, so a bag of potato chips costs $0.50, a hot dog costs $1.50 (\$0.50 + \$1.00), and a soft drink costs $0.75 (\$3.00 - \$2.25).

Solve the Problem. -A Vendor Sells Hot Dogs, Bags of Potato Chips, and Potato