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,

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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) About Me  (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?
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Equations:
Quantity: s + d = 27
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Value::: 23s + 35d = 849
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Multiply thru the 1st equation by 23 to get:
23s + 23d = 23*27
23s + 35d = 849
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Subtract and solve for "d":
12d = 228
d = 19 (# of double rooms rented)
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solve for "s":
s + d = 27
s + 19 = 27
s = 8 (# of single rooms rented)
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Cheers,
stan H.