Question: I only need you to set up the equations, you do not have to solve. A new hotel chain has three types of rooms: normal,

I only need you to set up the equations, you do not have to solve.

A new hotel chain has three types of rooms: normal, suite and grand master. There are a total of 350 rooms in the hotel. The normal rooms rent for $90 a night, the suites for $150 a night and the grand master suites for $300 a night. There are 3 times as many normal rooms as there are in suites and grand master suites combined. If the hotel made $47,000 last night, how many of each type of room does it have?

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