SOLUTION: A hotel has 200 rooms. Those with kitchen facilities rent for $100 per night and those without kitchen facilities rent for $80 per night. On a night when the hotel was completely

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Question 835514: A hotel has 200 rooms. Those with kitchen facilities rent for $100 per night and those without kitchen
facilities rent for $80 per night. On a night when the hotel was completely occupied, revenues were
$17,000. How many of each type of room does the hotel have?

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x count rooms without kitchen
y count rooms WITH kitchen

, because all rooms occupied;
, that night's revenue.

Simplifying the revenue equation,


Use the system:
----------------------
x+y=200
----------------------
4x+5y=850
----------------------

Try Elimination. Multitply the room count equation by 4, and....

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