SOLUTION: You and a friend go to a mexican restaurant. You order 2 tacos and 3 enchiladas, and your friend orders 3 tacos and 6 enchiladas. One bill is $8.00 and the other bill is $15.15. Ho

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: You and a friend go to a mexican restaurant. You order 2 tacos and 3 enchiladas, and your friend orders 3 tacos and 6 enchiladas. One bill is $8.00 and the other bill is $15.15. Ho      Log On

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Question 96914: You and a friend go to a mexican restaurant. You order 2 tacos and 3 enchiladas, and your friend orders 3 tacos and 6 enchiladas. One bill is $8.00 and the other bill is $15.15. How much was each taco and each enchilada?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You and a friend go to a mexican restaurant. You order 2 tacos and 3 enchiladas, and your friend orders 3 tacos and 6 enchiladas. One bill is $8.00 and the other bill is $15.15. How much was each taco and each enchilada?
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1st: 2t + 3e = 8.00
2nd: 3t + 6e = 15.15
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Multiply 1st by 2 to get:
3rd: 4t + 6e = 16.00
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Subtract 2nd from 3rd to get:
t = 0.85 (price of a taco)
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Substitute that into 1st (or 2nd) to solve for e:
2*0.85 + 3e = 8.00
1.70 + 3e = 8.00
3e = 6.30
e = $2.10 (price of an enchilada)
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Cheers,
Stan H.