Problema Solution
A hotel rents a double-occupancy room for $30 more than a single-occupancy room. One night hotel took in $3115 after renting 15 double-occupancy rooms and 26 single-occupancy rooms.Write and solve a linear system to find the cost of renting a double-occupancy room and the cost of renting a single-occupancy room.
Answer provided by our tutors
Let
x = the cost of renting double-occupancy room
y = the cost of renting single-occupancy room
A hotel rents a double-occupancy room for $30 more than a single-occupancy room means:
x = y + 30
After renting 15 double-occupancy and 26 single-occupancy room the hotel took in $3115:
15x + 26y = 3115
We have the following system of equations:
x = y + 30
15x + 26y = 3115
........
click here to see the system of equations solved for x and y
........
x = $95 for double-occupancy room
y = $65 fpr single-occupancy room
The cost of renting a double-occupancy room is $95.
The cost of renting a single-occupancy room is $65