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

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

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Sarah 1 month 2021-10-27T02:06:05+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-27T02:07:07+00:00

    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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