A sum of rs.3000 is to be givenin form of 63 prizes. If the prize money is either rs.100 or rs. 25 . Find the number of prizes of each type?

Here is the answer to your question.

Total sum = Rs 3000

Total number of prizes = 63

Let the number of prizes, each of Rs 100 be '

*x*’ and number of prizes, each of Rs 25 be '*y*'Then according to question

*x*+

*y*= 63 (1)

100

*x*+ 25*y*= 3000 (2)Equation (2) gives 4

*x*+*y*= 120 (3)Subtracting equation (1) form equation (3):

4

*x*+*y*–*x*–*y*= 120 – 633

*x*= 57*x*= 19

Putting

*x*= 19 into equation (1)19 +

*y*= 63*y*= 63 – 19 = 44

Number of prizes, each of Rs 100 = 19

Number of prizes, each of Rs 25 = 44

Hope! This helps you.

Cheers!