SOLUTION: there are 53 students accomodation in 21 rooms of a youth hostle. each room has either 2 or 3 beds. assuming that each student sleeps in one bed only and that every bed is used, fi

Question 935940: there are 53 students accomodation in 21 rooms of a youth hostle. each room has either 2 or 3 beds. assuming that each student sleeps in one bed only and that every bed is used, find out how many rooms with 2 beds and how many rooms with 3 beds are there.

(Hint let x represent the number of rooms with 2 beds and let y represent the number of rooms with 3 beds)
Please give a full detailed answer.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
---------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
---------------------

and
(1)
(1)
(1)
----------------
There are 10 rooms with 2 beds
There are 11 rooms with 3 beds
----------------
check:
(2)
(2)
(2)
(2)
OK

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