Question

the organiser of an essay competition decide that a winner in the competition get a price of rupees 100 and a participant who does not then get a price of rupees 25 total price distributed is rupees 3000 find the number of winners if that the total number of the participants 63

Answer 1

winners=x
losers=y
money to the winners=100x
money to the losers=25y
total money=money to winners+money to losers
3000=100x+25y
150=4x+y (by simplifying the above equation)
y=150-4x (eq1)
total participants= winners+losers
63=x+y
y=63-x (eq2)
from eq 1
63=x+150-4x
63=150-3x
3x=150-63
3x=87
x=87/3=29
x=29
no of winners =29