Respuesta :

Answer:

  • $110 per night
  • $20 per meal

Step-by-step explanation:

The problem statement tells you ...

  2n +3m = 280

  2n +5m = 320

You can subtract the first equation from the second to get ...

  (2n +5m) -(2n +3m) = (320) -(280)

  2m = 40 . . . . . simplify

  m = 20 . . . . . . .divide by 2

Substituting into the second equation, we find ...

  2n + 5·20 = 320

  2n = 220 . . . . . . . subtract 100

  n = 110 . . . . . . . . . divide by 2

The cost per night is $110, and the cost of each meal is $20.