Question

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

Answer 1

Step-by-step explanation:

let no. of prize of type Rs100 = x

no. of prize of type Rs 25 = y

x+y=63 -------(×100)

100×+100y=6300 --------(1)

100x + 25xy = 3000 ---------(2)

100x+100y = 6300

100x+25y = 3000 (here multiple by minus -)

_______________

75y = 3300

y = 33×100/75

= 44

x+y = 63

x = 63 - y

x= 63- 44

x = 19

I hope this will help you

Answer 2

Step-by-step explanation:

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