Question

A hotel rents 27 premium rooms and 23 regular rooms in one night. A premium room costs $35 more than a regular room. If the total revenue for the night is $4945, how much does each type of room cost per night?

Answer 1

Cost for Regular room is $80 and Cost for Premium room is $115.

Explanation:

Let the cost of regular room be x

Given:

A premium room costs $35 more than a regular room.

Cost of Premium room = 35 + x

Number of Premium rooms rented =27

Number of regular room rent = 23

Total Revenue = $4945

We need to find the cost of each type of room per night.

Now Total Revenue is calculated by adding Cost of Premium room multiplied with Number of Premium rooms rented and cost of regular room multiplied with Number of regular room rent.

Hence framing it in equation form we get;

`27(x+35)+23x=4945`

Now Solving the above equation we get;

`27x+945+23x=4945\\27x+23x=4945-945\\50x = 4000\\x=80`

Cost For Regular room is $80.

Now Cost for Premium Room =
`x+35 = 80+35=\$115`

Hence Cost for Regular room is $80 and Cost for Premium room is $115.