After submitting a correct answer to a problem on Brilliant, you witness the percentage of people getting the question right update from 50% to 51%. You were the solver.
How many Brilliant users, including yourself, attempted the problem?
Details and Assumptions:
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Let's call the original number of attempts x .
In order for the percentage of successful attempts to increase from 5 0 % to 5 1 % , we have that x 1 0 1 8 × 1 0 0 rounds to 5 0 , and x + 1 1 0 1 9 × 1 0 0 rounds to 5 1 .
This firstly lets us know that x 1 0 1 8 × 1 0 0 < 5 0 . 5 ⟹ 2 0 1 5 . 8 4 < x ,
whilst also telling us that x + 1 1 0 1 9 × 1 0 0 > 5 0 . 5 ⟹ x < 2 0 1 6 . 8 2 .
The only integer solution that fits these boundaries is x = 2 0 1 6 , and so 2 0 1 7 people, including yourself, attempted the problem.