SOLUTION: Ten rooms are rented at rates of $80 and $120 per night. The total collected for the ten rooms is $920. a) Write a system of linear equations whose solution gives the number of e

Question 938510: Ten rooms are rented at rates of $80 and $120 per night. The total collected for the ten rooms is $920.
a) Write a system of linear equations whose solution gives the number of each type of room rented. Be sure to state what each variable represents.
b) solve the system of equations.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of $80/night rooms rented
Let = number of $120/night rooms rented
-------------------------------------------
(1)
(2)
------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------

and
(1)
(1)
7 of the $80/night rooms are rented
3 of the $120/night rooms are rented
--------------------
check:
(2)
(2)
(2)
OK

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