SOLUTION: A motel in Florida charges $90 per day for double occupancy and $80 for single occupancy. If 80 rooms are occupied for a total of $6930, how many rooms of each kind are occupied?
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-> SOLUTION: A motel in Florida charges $90 per day for double occupancy and $80 for single occupancy. If 80 rooms are occupied for a total of $6930, how many rooms of each kind are occupied?
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Question 767856: A motel in Florida charges $90 per day for double occupancy and $80 for single occupancy. If 80 rooms are occupied for a total of $6930, how many rooms of each kind are occupied? Answer by algebrahouse.com(1659) (Show Source):
You can put this solution on YOUR website! x = number of $90 per day rooms
80 - x = number of $80 per day rooms {there are 80 total occupied rooms}
90x + 80(80 - x) = 6930 {value of room times number of rooms equals total value}
90x + 6400 - 80x = 6930 {used distributive property}
10x + 6400 = 6930 {combined like terms}
10x = 530 {subtracted 6400 from each side}
x = 53 $90 per day rooms {divided each side by 10}
80 - x = 27 $80 per day rooms {substituted 53, in for x, into 80 - x}
