Question

A sum of 2700 is to be given in the form of 63 prizes. If the prize is of either 100 or
25, find the number of prizes of each type.

Answer 1

Step-by-step explanation:

Let no. of prizes in 100 sum be x and that of in 25 sum be y .

They we have x + y = 63

where x = 63 - y

And 100x + 25y = 2700

=> 25(4x + y) = 2700

=> 4x + y = 108

=> 4(63 - y) + y = 108

=> 252 - 4y + y = 108

=> 252 - 3y = 108

=> 3(84 - y) = 108

=> 84 - y = 36

=> y = 84 - 36

=> y = 48

Hence x = 63 - 48 = 15

So no. of prizes in the form of 100 sum = 15

No. of prizes in the form of 25 sum = 48 .

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