Question 382379: I need help with Problems Using Systems in Three Variables
A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 2 hot dogs, 3 bags of potato
chips, and 2 soft drinks for $5.50. The price of a hot dog is $0.75 more than the price of a bag of potato chips.
The cost of a soft drink is $1.75 less than the price of two hot dogs. Find the cost of each item.
Thank you soooo Much!!! =)
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! "2 hot dogs, 3 bags of potato chips, and 2 soft drinks for $5.50" ___ 2h + 3p + 2s = 550
"The price of a hot dog is $0.75 more than the price of a bag of potato chips" ___ h = p + 75 ___ h - 75 = p
"The cost of a soft drink is $1.75 less than the price of two hot dogs" ___ s = 2h - 175
you know the price of hot dogs relative to the other foods , so solve for h and use the result to find the others
substituting the equivalent values into the 1st equation ___ 2h + 3(h - 75) + 2(2h - 175) = 550
2h + 3h - 225 + 4h - 350 = 550 ___ 9h = 1125 ___ h = 125
(125) - 75 = p ___ 50 = p
s = 2(125 - 175) = 75
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