SOLUTION: At the pico de Gallo Restaurante the dinner specials include combinations of tacos and enchiladas. THe number One special offers 2 tacos and 3 enchiladas for 8.oo. The number 2 spe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the pico de Gallo Restaurante the dinner specials include combinations of tacos and enchiladas. THe number One special offers 2 tacos and 3 enchiladas for 8.oo. The number 2 spe      Log On


   

Question 74073: At the pico de Gallo Restaurante the dinner specials include combinations of tacos and enchiladas. THe number One special offers 2 tacos and 3 enchiladas for 8.oo. The number 2 special offers 3 tacos and 1 enchilada for 5.70. Find the cost of a taco and a enchilada.
Answer by stanbon(75887) About Me  (Show Source):
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THe number One special offers 2 tacos and 3 enchiladas for 8.oo. The number 2 special offers 3 tacos and 1 enchilada for 5.70. Find the cost of a taco and a enchilada.
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2t+3e = 800
3t+ e = 570
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Multiply 2nd by 3 to get:
9t+3e = 1710
Subtract 1st from this to get:
7t = 910
t=130 (number of tacos)
Substitute to solve for e:
3t + e = 570
390 + e = 570
e = 180 (number of enchiladas)
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Cheers,
Stan H.