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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

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

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.