Question

A sum of rupees 3000 is to be given in the form of 63 prizes if the prize money is either rupees hundred or rupees 25 find the number of prices of each type question mark

Answer 1

Let the number of prizes each of Rs.100 be x, and the number of prizes each of Rs.25 be y ;
then by question,
x + y = 63
y = 63 - x -------(1)

Cost of x prizes each of Rs.100= 100x
Cost of y prizes each of Rs.25 = 25y

Therefore, 100x + 25y = 3000
25(4x+y) = 3000
4x + y = 3000/25 = 120
y = 120 - 4x ------(2)

Replacing y = 63-x as per eq1), we have
63 - x = 120 - 4x
4x - x = 120 - 63
3x = 57
x = 19

Hence y = 63-x = 63-19
y = 44

Thus the number of prizes each of Rs.100 = 19
& the numer of peizes each of Rs.25 = 44