# math

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A group of tourists stay in a hotel. If 6 tourists stay in each room, there will be an extra 9 beds. If 3 tourists stay in each room, they will need another 4 rooms. How many tourists are there in the group?

• math -

If there are t tourists and r rooms,

t = 6r-9
t = 3(r+4)

6r-9 = 3r+12
3r = 21
r = 7
so, t=33

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