A vendor sells hot dogs' bags of potato chips and soft drinks. A customer buys 5 hot dogs, 4 bags of potato chips, and 5 soft drinks for $17.00.

Question

A vendor sells hot dogs' bags of potato chips and soft drinks. A customer buys 5 hot dogs, 4 bags of potato chips, and 5 soft drinks for $17.00. 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 $2.25 less than the price of two hot dogs. Find the cost of each item.

Thanks in advance!

Answer 1

5H +4B + 5S = 1700

H= 125+B

B= H-125

S = 2H-225

5H +4(H-125) + 5(2H-225) = 1700

5H +4H +10H =1700+ 500 +1125

19H = 3325

H = 3325/19 = $1.75 for a Hot dog

B= H-125 = $.50 = 50 cents for a Bag of potato chips

S = 2H -225 = 350-225 = $1.25 for a Soft drink

5(175) + 4(50) +5(125) = 875 + 200 + 625 = 1700