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The Great Rating (Posted on 2003-07-25) |
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When I saw a problem on the site, it had a 2.6 rating. Since I really liked the problem, I voted 5 for it, and saw that the rating went from 2.6 to 2.75.
1) How many people voted for it before I did?
2)What would the rating of this problem be if two more people voted 5 for this problem?
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Submitted by Gamer
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Rating: 3.3333 (9 votes)
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Solution:
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(Hide)
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a) 15 people
b) a rating of 3
This can be figured out by (a/b=2.6) and ([a+5]/[b+1]=2.75), and by solving the first equation for a, and plugging (a=2.6b) into the first equation, you would get ([2.6b+5]/[b+1]=2.75) as the equation.
Multiplying both sides by [b+1] and simplifying gives (2.6b+5=2.75b+2.75), then by subtracting [2.75] and [2.6b] from both sides gives (2.25b=.15), which means that b=15 is the answer.
By plugging this into a=15(2.6), you get a=39, so the answer is[39+3(5)]/[15+3] which equals 54/18 or 3. So the problem would be rated 3 if 2 more people came and voted the problem 5 |
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