Question

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

Answer 1

Step-by-step explanation:

Since we have given that

Number of prizes = 63

Prize amount = Rs. 2700

Prize value can be of Rs. 100 or Rs. 25

Let the number of prizes of Rs. 100 be 'x'.

Let the number of prizes of Rs. 25 be '63-x'.

According to question

100x + 25(63-x) = 2700

100x + 1575- 25x = 2700

75x = 2700 - 1575

75x = 1125

x = 1125/75 = 15

so, number of prizes for Rs. 25 would be

63 - 15 = 48

Hence, there are 15 prizes for Rs. 100

and 48 for Rs. 25