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On Friday morning at a particular hotel, 5/9 of the rooms were cleaned

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On Friday morning at a particular hotel, 5/9 of the rooms were cleaned  [#permalink]

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New post 19 Feb 2017, 23:47
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  75% (hard)

Question Stats:

75% (02:43) correct 25% (02:54) wrong based on 47 sessions

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On Friday morning at a particular hotel, 5/9 of the rooms were cleaned in preparation for weekend visitors. Of the rooms that were not cleaned, 1/3 were planned to be vacant for the weekend and therefore did not need to be cleaned. Of the rooms that needed to be cleaned but were not, the staff was able on Friday afternoon to clean 3/5 before check-in time. What fraction of the hotel's rooms were cleaned on Friday before check-in time?

A. 11/15
B. 7/9
C. 37/45
D. 13/15
E. 8/9

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Re: On Friday morning at a particular hotel, 5/9 of the rooms were cleaned  [#permalink]

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New post 20 Feb 2017, 00:45
So if 5/9 were cleaned 4/9 were not.
of this 4/9 fraction that should be cleaned but were not = 1-1/3 = 2/3, so 8/27 should be cleaned but were not
3/5 of there were cleaned before Friday so they cleaned 3/5*8/27 = 8/45
so in total 5/9+4/45 = 33/45 = 11/15

Answer is A
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Re: On Friday morning at a particular hotel, 5/9 of the rooms were cleaned &nbs [#permalink] 20 Feb 2017, 00:45
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