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Eight burgers and three orders of fries cost $79.49. Six orders of fries and twelve burgers cost $125.82.Find the price of one burger and one order of fries .

Respuesta :

mhanifa

Answer:

  • Burgers - $8.29 and fries - $4.39

Step-by-step explanation:

Let burgers - b, fries - f

  • 8b + 3f = 79.49
  • 12b + 6f = 125.82

Double the first equation and subtract the second equation:

  • 16b + 6f - 12b - 6f = 2(79.49) - 125.82
  • 4b = 33.16
  • b = 33.16/4
  • b = 8.29

Find f:

  • 8(8.29) + 3f = 79.49
  • 3f = 79.49 - 66.32
  • 3f = 13.17
  • f = 13.17/3
  • f = 4.39