SOLUTION: Solve the problem by using a system of equations. A motel rents double rooms at $35 per day and single rooms at $23 per day. If 27 rooms were rented one day for a total of $849,

Question 473427: Solve the problem by using a system of equations.
A motel rents double rooms at $35 per day and single rooms at $23 per day. If 27 rooms were rented one day for a total of $849, how many rooms of each kind were rented?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the problem by using a system of equations.
A motel rents double rooms at $35 per day and single rooms at $23 per day.
If 27 rooms were rented one day for a total of $849, how many rooms of each kind were rented?
----
Equations:
Quantity: s + d = 27
---
Value::: 23s + 35d = 849
-----------------------------------
Multiply thru the 1st equation by 23 to get:
23s + 23d = 23*27
23s + 35d = 849
----
Subtract and solve for "d":
12d = 228
d = 19 (# of double rooms rented)
---
solve for "s":
s + d = 27
s + 19 = 27
s = 8 (# of single rooms rented)
===================
Cheers,
stan H.
RELATED QUESTIONS
A motel rents double rooms at $35 per day and single rooms at $23 per day. If 27 rooms... (answered by Theo)

A motel rents double rooms at $35 per day and single rooms at $24 per day. If 24 rooms... (answered by solver91311)

A motel rents double rooms at $35 per day and single rooms at $24 per day. If 27 rooms... (answered by josgarithmetic)

A motel rents double rooms at $34 per day and single rooms at $25 per day. If 30 rooms... (answered by ikleyn)

A motel rents double rooms at $32 per day and single rooms at $27 per day. If 28 rooms... (answered by josgarithmetic)

A motel rents rents double rooms at $75 per night and single rooms at $64 per night. one... (answered by mananth)

A hotel rents double rooms at $320 per day and single rooms at $260 per day. If 46 rooms (answered by richwmiller)

A motel in Florida charges $90 per day for double occupancy and $80 for single occupancy. (answered by algebrahouse.com)