Martin invited 5 * 2 = <<5*2=10>>10 people from his school.

People from the sports club got 5 + 10 = <<5+10=15>>15 invitations.

So in total from the sports club, hometown and school, Martin invited 5 + 10 + 15 = <<5+10+15=30>>30 people.

All other invitations are 20% of the previous total, which means 20/100 * 30 = <<20/100*30=6>>6.

That means Martin invited to his party 30 + 6 = <<30+6=36>>36 people.

# Answer

36
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Martin is organizing a party, and he invited many of his colleagues. He invited 5 people from his hometown and twice as many people from his school. Martin invited also as many people from his sports club as the sum of people invited from his hometown and his school. The remaining invitations represent 20% of the total previously mentioned. How many people can potentially come to the party Martin is organizing?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
36
Martin is organizing a party, and he invited many of his colleagues. He invited 5 people from his hometown and twice as many people from his school. Martin invited also as many people from his sports club as the sum of people invited from his hometown and his school. The remaining invitations represent 20% of the total previously mentioned. How many people can potentially come to the party Martin is organizing?
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