Question

The revenue from renting 50 hotels rooms is $4945. If premium rooms cost $115 and regular rooms cost $80, find the number of each type of room rented.
Im not sure how to set the equation.

Answer 1

27 @ $115 and 23 @ $80

Answer 2

let
no of premium rooms be 'p'
no of regular rooms be 'r'
now total no of rooms = no of premium rooms + no of regular rooms = p +r
from given data
=> p + r = 50 ...(1)
so
total revenue = revenue from renting premium hotels rooms
+ revenue from renting regular hotels rooms
=> 4945 = (no of premium rooms)(premium room cost)
+ (no of regular rooms)(regular room cost)
=> 4945 = 115p + 80r ...(2)
we obtain the following equation by substituting the value of p from equation (1) in equation (2)
4945 = 115(50 - r) + 80r
=> 4945 = 5750 - 115r + 80r
=> 35r = 805
=> r = 805/35 = 23
=> p = 27

Answer 3

let x equal the number of rooms at the $115 rate. Solve the following for x
x 115+(50-x)80=4945

Answer 4

Thank both of you

Answer 5

Your welcome.