So my original answer was 51. I am asking for confirmation to see if it is correct (By the way, I originally had this in university, but it isn't at that level).
#Please assist with this question.
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So my original answer was 51. I am asking for confirmation to see if it is corre...
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rustic lake
So my original answer was 51. I am asking for confirmation to see if it is corre...
i saw someone post this before lol
anyways, just like model the whole thing out
and if all the info lines up, you have the answer!
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i saw someone post this before lol
Can I show you my process to affirm it is indeed 51?
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i saw someone post this before lol
Random, I am getting 21 now.
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One moment, i'll show you the work.
rustic lake
if there were 21 people, there were 0 people behind joseph, and then there must be 0 in front of dan (0*3=0) which
doesnt line up
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Yeah...
rustic lake
because then dan is 1st, joseph 21st, but the nubmer of people behind/in front is equal
so its not 21
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Joseph finished in the 21st position
J
(num of runners ahead of Joseph)
numbers behind = 2J (given)
J+2J+1=21
(josephs position)
3J+1=21
3J=20
20/3=6
number ahead of dan = D
number behind dan = 3D
D+3D+J=tot runners
4D+6
4D=45
45/4=11
4D+6=4(11)+6
=51
oh shit i made a mistake
sour shell
45/4 ≠ 11
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if there were 21 people, there were 0 people behind joseph, and then there must ...
How do you get 51?
If that's confirmed to be the right answer.
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where did this come from
Just ignore it please.
rustic lake
not joseph
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the people behind DAN was 2J btw
Okay.
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@rustic lake Suppose Joseph finished in position n. Then, suppose N(behind Dan)/N(in front of Joseph) = x and N(behind Joseph)/N(in front of Dan) = y.
Suppose there were n runners in total, and Joseph and Dan finished in places x and y, respectively. Also, suppose the given ratios are p and q. Then:
(n - y)/(x - 1) = p
(n - x)/(y - 1) = q
Expressing y gives:
y = n - p(x - 1)
y = 1 + (n - x)/q
So, we get n - p(x - 1) = 1 + (n - x)/q. You can find n from here, then substitute p = 2, q = 3, x = 21.
Solve for n.
nope neevrmind d
rustic lake
what we know n ???
rustic lake
this is so ai gen
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i solved it
rustic lake
- makes n josephs position
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this is so ai gen
nope darpinger gave that to me
rustic lake
- instantly turns around and says n is the total number of people
damn
darp what are ya doing 😭
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darp what are ya doing 😭
what he do
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Okay, all seriousness, random, the answer is 51 though, correct?
Can I show you my process?
Going off what Darpinger originally gave me.
rustic lake
Can I show you my process?
sure yea
i think it is 51 if i remember the question answer correctly but not 100% sure
but iff you send your work i can tell you if its right
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sure yea
After substituting, n-2(21-1)=1+(n-21)/3 is what you get.
n - 2 * 20 = 1 + n-21/3
n - 40 = 1 + n-21/3
3n - 120 = 3 + n - 21
3n - 120 = n - 18
102/2
n = 51
rustic lake
good job