How Many Stretched?
The members of an exercise group are arranged in a circle. One of their stretching exercises is held to a count of 15 with 5 reps. The count is started by the leader (1) and proceeds clockwise around the circle with each member calling out in turn. When the count gets to 15 the group relaxes and then the next person in line resumes with the count of 1 for the next rep.
If this exercise continues until 5 reps are concluded and the count ends at #7 in the group how many participants are in the circle? There are 3 possible answers.
State the sum of the 3 answers.
The answer is 119.
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1 solution
75 mod x = 7
75/x = y + 7/x where y = 1, 2, 3, ...
75 = x * y + 7
68 = x * y
x = 68, 34, and 17 : The total = 119