Question 271094
Hello, 
Let x represent singles and y be doubles room. From this we can make two equations.
5x+12y=390
9x+10y=412
Now multiply the first equation by -9 and the second equation by 5 to get:
-45x-108y=-3510
45x+50y=2060
Now we can add these to get:
-58y=-1450 Divide each side by -58 to get:
y=25 Plug this answer into the first equation to solve x:
5x+300=390 Subtract 300 from both sides and divide it by 5 to get:
x=18
There we go. $18 for single and $25 for double. Pretty cheap rent, huh?
RJ 
A new book might help you out:
www.math-unlock.com