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Math Circle (Posted on 2024-09-13)

What is the least possible numbers in a Math Circle, where girls constitute more than 48.5% but less than 50% of the members?

No Solution Yet Submitted by K Sengupta

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Solution

| Comment 1 of 3

Let the number of females be n and the number of males = n+1.

Then n/(2n+1) > .485

n > .97n + .485

.03n > .485

n > .485/.03 = 16.166666

So Females = 17

Males = 18

Female % = 17/35 = 48.57%

Edited on September 13, 2024, 8:19 am

Posted by Steve Herman on 2024-09-13 07:57:30

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