The organissers of an essay competition decide that a winner in the competition gets a prize of Rs.100.00 and a participant who does not win gets a prize of Rs.25. the total prize money distributed is Rs.3000.00 . Find the no of winners in the total no of participants are 63

1

Answers

2015-03-14T08:55:09+05:30
Let the number of winners be x and the rest be y.
So, x+y= total participants
or, x+y = 63 
or, x = 63 - y (i) 

Now the total prize money was 3000
So we can write it as 100x + 25y = 3000
Now substituting the value of x in (i)  in this equation we get,
= 100(63-y) + 25y = 3000
= 6300 - 100y + 25y = 3000
= -100y + 25y = 3000 - 6300
= -75y = -3300
= y = -3300/-75 
= y = 44

Now x+y=63
So, x + 44 = 63
= x = 63 - 44
= x = 19
Thus the total number of winners are 19.

Hope that helps !!
3 5 3
Plz rate it as best if that helps !! :)