SOLUTION: A motel rents rents double rooms at $75 per night and single rooms at $64 per night. one night, the income from renting double and single rooms was $2,244. if the number of single

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A motel rents rents double rooms at $75 per night and single rooms at $64 per night. one night, the income from renting double and single rooms was $2,244. if the number of single       Log On


   

Question 578653: A motel rents rents double rooms at $75 per night and single rooms at $64 per night. one night, the income from renting double and single rooms was $2,244. if the number of single rooms rented was three less than two times the number of rooms rented, how many rooms of each kind were rented?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
I think there is a typo
it should be 3 less than twice the number of double rooms

single rooms rented be x
double rooms rented =y
x= 2y-3
x=2y-3
x=2y-3............(1)

cost
75y+64x=2244..............(2)
substitute x in (2)
75y+64(2y-3)=2244
75y+128y-192=2244
203y=2244+192
203y=2436
y=12 the number of double rooms
x=2y-3
plug y
x=2*12-3
x=21 single rooms
m.ananth@hotmail.ca