SOLUTION: At the café the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price o

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: At the café the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price o      Log On


   

Question 900020: At the café the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price of each type of dinner?
Answer by stanbon(75887) About Me  (Show Source):
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At the café the total price of four fajita dinners and three burrito dinners is $48. and the total price of three fajita dinners and two burrito dinners is $34. What is the price of each type of dinner?
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Equations:
4f + 3b = 48 dollars
3f + 2b = 34 dollars
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Modify::
12f + 9b = 3*48
12f + 8b = 4*34
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Subtract and solve for "b"::
b = 8 (price of one burrito dinner)
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Solve for "f" using 3f + 2b = 34
3f + 16 = 34
3f = 18
f = 6 (price of one fajita dinner)
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Cheers,
Stan H.
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