Math mini-contest problem for Day 3 on D.Buzz for March 2021 π
Math mini-contest problem for Day 3 on D.Buzz for March 2021 π
Fang participated in a Math contest. At the end of the contest, the average of all the participants' scores is 90. If Fang did not participate, the average score will have been 88. What is Fang's score?
0
0
0.000
My answer is no solution. We don't know how many participants are in the contest. Thus the value of Fang's score will change depending on the number of contestants.
For example:
2 participants: Fang 92, B 88.
3 participants: Fang 94, B 88, C 88
I got 92 .... But after seeing jfang's ans I'm not sure.
Posted via D.Buzz
The best I could get is Fangs score will be 90 plus 2x the number of other people
Without knowing the numbers of participants we can't determine Fang's score...
Posted via D.Buzz
Fangs score is
90n - 88(n-1)
where n is the number of participants (incl. Fang).
Answer for Day 3 Math Problem
Any of the following answers shall be considered correct. π
(or any multiple of 2 starting from 92)
Β
Solution
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)! π
The equation of the relationship between the number of participants and Fang's score is
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.
Winner: @appukuttan66 π
3 HIVE has been sent to @appukuttan66's HIVE account! π°π°π° 1 HIVE is the guaranteed prize for today, while the other 2 HIVE is from the accumulated prizes from Day 1 and Day 2 problems where there was no winner. π
For the non-winning participants, please let me know if it is okay for you that I give specific feedback to your answer. π
Mentions: @holovision, @eturnerx (@eturnerx-dbuzz), @dkmathstats, @paultactico2 π€
Special mentions: @dbuzz, @chrisrice, @jancharlest, and @mehmetfix π€―
Yayy!! We finally beat none!!!!