Ahotel has 150 rooms. the charges for a double room are $270 per night and $150 per night for a single room. on a night when the hotel was completely occupied. revenues were $33,300. which pair of equation can be used to determine the number of double room, d and the number of single room,s,in the hotel?

Step-by-step explanation:

Let s be charges for a single room and d be charges for a double room per night.

We are told that a hotel has 150 rooms. We can represent this information as:

The charges for a double room are $270 per night and $150 per night for a single room. So the charges for s single rooms will be 150s and charges for d double rooms will be 270d.

On a night when the hotel was completely occupied. Revenues were $33,300.

We can represent this information as:  

Therefore, our desired pair of equations will be:

Step-by-step explanation:

5(2h+8) <60

10h +40< 60

10h + 40-40 < 60-40

10h < 20

10h/10 < 20/10

h < 2