SOLUTION: At the fair, Joey bought 3 burgers and two hot dogs for $19. Manuel bought 5 burgers and 3 hot dogs for $30.50. How much are the burgers and hot dogs each?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the fair, Joey bought 3 burgers and two hot dogs for $19. Manuel bought 5 burgers and 3 hot dogs for $30.50. How much are the burgers and hot dogs each?      Log On


   



Question 758215: At the fair, Joey bought 3 burgers and two hot dogs for $19. Manuel bought 5 burgers and 3 hot dogs for $30.50. How much are the burgers and hot dogs each?
Answer by stanbon(75887) About Me  (Show Source):
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At the fair, Joey bought 3 burgers and two hot dogs for $19. Manuel bought 5 burgers and 3 hot dogs for $30.50. How much are the burgers and hot dogs each?
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Equations:
3b + 2h = 19
5b + 3h = 30.5
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Solve for "b":
9b + 6h = 3*19
10b + 6h = 61
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b = $4.00 (price of one burger)
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Solve for "h":
3b + 2h = 19
3*4 + 2h = 19
2h = 7
h = $3.50 (price of one hot dog)
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Cheers,
Stan H.
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