Answer:
- $110 per night
- $20 per meal
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.