Question

A sum of ₹3000 is to be given in the form of 63 prizes. If the prize money is either ₹100 or₹25. Find the number of prizes of each type.
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Answer 1

Answer:

30,120

Step-by-step explanation:

if prize money is 100 rupees

total prizes =3000/100

=30 prizes

if prize money is 25 rupees

total prizes=3000/25

=120 prizes

Answer 2

Answer:

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)

100 + 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

Step-by-step explanation:

Hence the number of prizes of cost 100 each are 19 while other type of prizes are 44.

Hope it helps you!