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Australian AMC 2022 - Junior Question 28

AMC AUSTRALIA · Australian AMC 2022 - Junior

Question 28

A surf club has three types of members: trainees, paddlers and legends. There are 20 trainees, less than half the membership. There are twice as many legends as paddlers. After a surf rescue they received a 1000-dollar donation to divide among all members. All the money was shared; every member received a whole number of dollars, at least 2 dollars. Each paddler received six times as much as each trainee. Each legend received 5 dollars more than each paddler. How many members are in the club?