Problema Solution
the organisers of an essay competition decide that a winner in the computation gets a prize of Rs 100 and a participate who does not win gets a prize of rs 25 .the total prize money distributed is rs 3000 find the numbers of winner if the total number of participants is 63..
Answer provided by our tutors
let
w = the number of winners
p = the participant who doesn't win
the total number of participants is 63
w + p = 63
.the total prize money distributed is rs 3000
100w + 25p = 3000
by solving the system of equations
w + p = 63
100w + 25p = 3000
we find
w = 19 winners
p = 44 participant that don't win
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