Hotel Rooms Count Triples

There are a total of 110 beds in the hotel, which are available in single, double, and triple rooms, while there are three times more triple rooms than single rooms and twice as many double rooms as triple rooms. How many triple rooms are there in total in the hotel?

Final Answer:

c =  15

Step-by-step explanation:


110 = 3c + 1 · c/3 + 2·2c

110 = 3·c + 1 · c/3 + 2·2·c

22c = 330


c = 330/22 = 15

c = 15

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