Question 1209129: If the prize pool is $2000 and I’m in 856th place out of 3,000 people, how much would I receive from the prize pool?
Answer by ikleyn(52847) (Show Source):
You can put this solution on YOUR website! .
If the prize pool is $2000 and I’m in 856th place out of 3,000 people,
how much would I receive from the prize pool?
~~~~~~~~~~~~~~~~~~~~~~~~~~
Generally speaking, the rules of the game / (of the competition) should be established by the problem.
But since the problem does not establish the rules, I will establish them myself as I like to establish them.
Naturally, I will establish the rules by the most simple way,
throwing aside all the details that are unnecessary to me.
In particular, I will assume that the dollar is divisible by any integer number of parts.
So, let the rule is dictated by this table
Last First
Place 3000 2999 2998 2997 . . . 1
Prize d 2d 3d 4d . . . 3000d
where "d" is some real number of dollars, not necessary integer number,
but, perhaps, any rational number of dollars.
Then the unique restriction is for the sum
S = d + 2d + 3d + . . . + 3000d = 2000 dollars.
It can be written in the form
= 2000,
or
4501500*d = 2000, d = = dollars.
Hence, the person on the 856 place will get = 0.953015661 dollars.
You may treat it in any way you want.
Solved.
|
|
|