Respuesta :

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.