Question

A hotel offers single rooms for $90 a night and suites for $150 a night. One night, a clerk notes that a total of 24 rooms were sold but did not write down how many of each type were sold. If the hotel charged a total of $2,520, then how many of the rooms sold were suites? Show your work.

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Answer 1

Let x = number of suites. Then number of singles = 24 − x.

Revenue equation: 150x + 90(24 − x) = 2520
150x + 2160 − 90x = 2520
60x + 2160 = 2520
60x = 360
x = 6

So 6 of the rooms sold were suites.