Reverse Engineering Hotel Industry Ratios

Hello Everyone. This is a problem that has been bothering me for a while and I'm hoping that there is a math instructor out there with a quick answer.

Heres the dilemma,

In the hotel industry there are 3 ratios that are used to measure performance.

Revenue per Available Room (R)

Occupancy (O)

and Average Daily Rate (A)

R = Revenue/Available Rooms

O = Sold Rooms/Available Rooms

A = Revenue/Sold Rooms

If I know all three of these ratios for a property, is there a way to multiply, divide, or tease these ratios out so that I can isolate the components, such as Revenue? I've tried to approach this but with no luck. At this point I'm more interested in IF it can be done and if so how than anything.

History: Me educated up through Calc 3