Any of the following answers shall be considered correct. 😆
infinite solutions 🎯
Fang's score = 88 plus 2 times the number of participants 🎯
92 🎯
94 🎯
96 🎯
Let's see the pattern here.
This pattern theoretically continues indefinitely, with Fang's score equal to 90 plus 2 times every other participant in the contest. Yes, Fang in the original problem can in theory get a score higher than 2,147,483,647 (only programmers will understand)! 😆
The equation of the relationship between the number of participants and Fang's score is
s = 88 + 2p
where
Algebraically, we have a linear equations in two variables s and p. We just have a constraint such that p is a whole number (1, 2, 3, etc.) because it represents participants. Scores can have fractional values (e.g. 92.5), but in the original problem, such value cannot be reached because of the constraint in p.
@appukuttan66 🏅3 HIVE has been sent to
@jfang003's answer was "no solution", while there are in fact infinite solutions. 😅 Imagine asking a question "What number below 10 is a prime number?" Anyone who said 7, 5, 3, or 2 (or even 1) answered correctly. You cannot say "there is no prime number below 10" because there are actually 4 (or 5) prime numbers below 10. Trivia: There are no negative prime numbers, since a prime number can only have factors which are 1 (not negative 1) and itself.
@failingforwards's answer is considered correct, but somebody else submitted a correct answer first!
@minus-pi's answer can be considered correct with minor simplification, if only he answered first!
@ahmadmangazap's answer was quite close, but he should have used the word "exact" in his "can't determine Fang's score" because there is actually a formula for getting any possible score of Fang.For the non-winning participants, please let me know if it is okay for you that I give specific feedback to your answer. 😅
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RE: Math mini-contest problem for Day 3 on D.Buzz for March 2021 😎