Question

70 of the rooms in a hotel are full if the hotel is 87.5% full then how many total rooms are there at this hotel

Answer 1

80 rooms

Explanation:

Given: 70 of the rooms in a hotel are full such that the hotel is 87.5% full.

To find: total number of rooms in the hotel

Solution:

Number of filled rooms
`=70`

Percentage if filled rooms
`=87.5\%`

Let
`x` denotes total number of rooms.

Therefore,

`(87.5)/(100)x=70\\\\x= 70((100)/(87.5) )\\\\x=80`

So, there are
`80` rooms in the hotel.