Answer:
80 rooms
Step-by-step 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 [tex]=70[/tex]
Percentage if filled rooms [tex]=87.5\%[/tex]
Let [tex]x[/tex] denotes total number of rooms.
Therefore,
[tex]\frac{87.5}{100}x=70\\\\x= 70(\frac{100}{87.5} )\\\\x=80[/tex]
So, there are [tex]80[/tex] rooms in the hotel.