A sum of rupees 3000 is to be given


Asked by admin @ in Math viewed by 311 People


A Sum of rs 3000 is to be given in the form of 63 prizes. if the prize money is either rs 100 or rs 25 find the number of prizes of each type.

Answered by admin @



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
____________________

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