math word problem?

Question

Ive tried to work this out so many times please help!!

A hotel has 15 floors.
Floors:1 2-10 11-12 13 14-15
Price:300 110 250 125 250
Table 1:price per night on each floor of the hotel. Floor 13 is cheaper because some poeple think its unlucky.
Floor:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Filled:5 10 15 15 10 10 7 10 15 3 ? ? ? ? ?
Table 2: # of rooms filled on each floor.
we dont know the % of rooms used on floors 11-15.Assume the hotel has been paid 16,375 by the people on the top 5 floors & the total of rooms used is 70. How many rooms have been used on floor 13?
How many are used on floors 11,12,14,&15?

Answer 1

Floor 11 = 16 Rooms
Floor 12 = 15 Rooms
Floor 13 = 9 Rooms
Floor 14 = 15 Rooms
Floor 15 = 15 Rooms

Total Cost of Rooms = $16,375 Total Rooms Used = 70

Answer 2

All the floors at 11 and above are $250 except floor 13 which is 125. The total payment for floors other than 13 is

[n(11)+n(12)+n(14)+n(15)]*250

the payment for floor 13 is

n(13)*125; Where n(x) is the number of rooms filled on floor x.

Call the sum n(11)+n(12)+n(14)+n(15) = n, then the total payment for all the rooms is

T = n*250 + n(13)*125.

The total no of filled rooms is

N = n + n(13)

You now have two eqs in two unknowns: n(13) and n. Those are the quantities you are asked to find.