Question

Rooms in a hotel consist of only Bedrooms or Suites. If the number of
bedrooms is two-third the number of suites, and four-fifth bedrooms are with
two beds, then what is the number of two bed bedrooms in the hotel, given
the hotel has a total of 'n' rooms?
Pick ONE option

A) 8/27*n

B) 8/25*n

C) 8/21*n

D) 8/9*n
​

Answer 1

Given :   number of  bedrooms is two-third the number of suites, and four-fifth bedrooms are with  two beds,

the hotel has a total of 'n' rooms

To find :   number of two bed bedrooms in the hotel

Solution:

the number of  bedrooms is two-third the number of suites

Suits  = 3S

Then Bed rooms = (2/3)3S  =  2S

Total = 3S + 2S = 5S

=> n = 5S

=> S = n/5

four-fifth bedrooms are with  two beds = (4/5)2S  =  8S/5

Substitute S = n/5

number of two bed bedrooms in the hotel   =  8 (n/5)/5

= 8n/25

number of two bed bedrooms in the hotel   =  8n/25

option B is correct

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