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? 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} 53 $90 per day rooms and 27 $80 per day rooms  Algebra House
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