SOLUTION: A hotel has 260 rooms � some single and some doubles. The singles costs $69 per night and the doubles cost $85 per night. Because of a math teacher�s convention, all the hotel ro

Question 810503: A hotel has 260 rooms � some single and some doubles. The singles costs $69 per night and the doubles cost $85 per night. Because of a math teacher�s convention, all the hotel rooms are occupied. The sales for this night are $21,076. How many singles rooms are there
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
s+d=260,
69s+85d=21076
d = 196, s = 64
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A hotel has 260 rooms � some single and some doubles. The singles costs $69 per night and the doubles cost $85 per night. Because of a math teacher�s convention, all the hotel rooms are occupied. The sales for this night are $21,076. How many singles rooms are there
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Quantity Equation: s + d = 260 rooms
Value Equation:: 69s+85d = 21,076
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Modify for elimination:
85s + 85d = 85*260
69s + 85d = 21076
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Subtract and solve for "s":
16s = 1024
s = 64 (# of single rooms)
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Cheers,
Stan H.
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