Question

A sum of $3000 is to be given in the form of 63 prizes. If the prize money is either $100 or$25 . Find the number of prize of each type.

Answer 1

Answer:

Let the number of prizes of money 100 be x, and the number of prizes of cost 25 be y ;

x+y = 63

y = 63-x -------(1)

100x+25y = 3000

4x+y = 120

y = 120-4x ------(2)

63-x = 120-4x

4x-x = 120-63

3x = 57

x = 19

y = 63-x = 63-19

y = 44

Hence the number of prizes of cost 100 each are 19 while other type of prizes are 44