SOLUTION: at a concession stand three hot dogs and two hamburgers cost 7.00; two hot dogs and three hamburgers cost 8.00 find the cost of one hotdog and the cost of one hamburger

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: at a concession stand three hot dogs and two hamburgers cost 7.00; two hot dogs and three hamburgers cost 8.00 find the cost of one hotdog and the cost of one hamburger      Log On


   



Question 1011832: at a concession stand three hot dogs and two hamburgers cost 7.00; two hot dogs and three hamburgers cost 8.00 find the cost of one hotdog and the cost of one hamburger
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
at a concession stand three hot dogs and two hamburgers cost 7.00; two hot dogs and three hamburgers cost 8.00 find the cost of one hotdog and the cost of one hamburger
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Equations:
3d + 2h = 7
2d + 3h = 8
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6d + 4h = 14
6d = 9h = 24
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5h = 7
h = 7/5 = $1.40 (price of one hamburger)
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Solve for "d"
2d + 3h = 8
2d + 4.2 = 8
2d = 3.8
d = $1.90 (price of one hot dog)
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Cheers,
Stan H.
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