Problema Solution
One night the manager of the Sky Walk Inn has rented 8 doubles and 12 singles for a total of $2460. The second night he rented 5 doubles and 10 singles for a total of$1810. What is the rate for a double type of room per night?
Answer provided by our tutors
Let
x = the rate for a double type of room per night
y = the rate for a single type of room per night
One night the manager of the Sky Walk Inn has rented 8 doubles and 12 singles for a total of $2460:
8x + 12y = 2460
The second night he rented 5 doubles and 10 singles for a total of $1810:
5x + 10y = 1810
We have the following system:
8x + 12y = 2460
5x + 10y = 1810
........
........
x = $144
y = $109
The rate for a double type of room per night is $144.