Question

a sum of 3000 rupees is to be given in the form of 63 prizes if the prize money is either rupees 100 or rupees 25 find the number of prizes of each type

Answer 1

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)
100x + 25y = 3000 (2)

Equation (2) gives 4x + y = 120 (3)

Subtracting equation (1) form equation (3):

4x + y – x – y = 120 – 63
3x = 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.