Question

!EASY! A two-story hotel has 20,000 square feet of space on the first floor for rooms and 35,000 square feet of space on the second floor for rooms. An average room is 16 ft x 20 ft. How many rooms do you have available?

a) 150
b) 165
c) 171
d) 178

Answer 1

The correct answer is: c) 171

Explanation:

In order to find the number of rooms first of all we have to find the area of a single room

Given that the dimensions of room is:

16 ft * 20 ft

The area of a room is: 320 square feet

So

Area for rooms on first floor = 200000 square feet

The number of rooms on first floor will be:

`=(20000)/(320) = 62.5`

As the number of rooms cannot be in decimal and as we are dealing with floor area some area can be spared but no extra area can be added so the floor function will be applied which rounds off the number to previous whole number

Then number of rooms on first floor is 62

And '

Area for rooms on second floor = 35000 square feet

the number of rooms:

`=(35000)/(320)\\=109.375`

Rounding off using floor function

Number of rooms on second floor = 109

Total number of rooms = 62+109 = 171

Hence,

The correct answer is: c) 171