2023 AISS EM S1 EOY P1 Q5

Ascend Hotel has a total of \(27\) rooms.

Each room can be used as a single room or a double room.

The price for a single room is \(\$159\) per night.

The price for a double room is \(\$219\) per night.

On a particular night, all the rooms are occupied, and \({x}\) rooms are used as single rooms.

1. Show that the total price of all the rooms on the particular night is \(\$\left(5913-60x\right)\).[1]
2. Given that the total price of all the rooms is \(\$5013\), form an equation and find the value of \({x}\).[2]