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Question 384185: A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 5 hot dogs, 2 bags of potato chips, and 2 soft drinks for $15.50. 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 $2.50 less than the price of hot dogs. Find the cost of each item.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A vendor sells hot dogs, bags of potato chips, and soft drinks.
A customer buys 5 hot dogs, 2 bags of potato chips, and 2 soft drinks for $15.50.
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 $2.50 less than the price of hot dogs. Find the cost of each item.
:
Let h = no. of hot dogs
Let p = " potato chips
Let d = " drinks
:
"A customer buys 5 hot dogs, 2 bags of potato chips, and 2 soft drinks for $15.50."
5h + 2p + 2d = 15.50
:
"The price of a hot dog is $0.75 more than the price of a bag of potato chips."
h = p + .75
or
p = h - .75
:
"The cost of a soft drink is $2.50 less than the price of hot dogs."
d = h - 2.50
:
Find the cost of each item.
5h + 2p + 2d = 15.50
replace p and d
5h + 2(h-.75) + 2(h-2.50) = 15.50
:
5h + 2h - 1.50 + 2h - 5.00 = 15.50
:
you should be able to do this now
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