Question

Night Owl Motel rents rooms with 2 beds for $68 per night and rooms with 1 bed for $57 per night. One evening Night Owl Motel rented 27 rooms and made $1,704.

How many rooms with 1 bed did the motel rent out?
How many rooms with 2 beds did the motel rent out?

Answer 1

o + t = 27 ---> o = 27 - t57o + 68t = 1704 57(27 - t) + 68t = 17041539 - 57t + 68t = 170411t = 165t = 15 o = 27 - 15 = 12