Question

A 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

Answer:

f45

Step-by-step explanation:

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Answer 2

Let the number of prizes worth 100 rupees be x and worth 25 rupees be y.

Given that Total sum = 2700.

100x + 25y = 2700

4x + y = 108    ---------------- (1).

Given that sum is given in the form of 63 prizes.

x + y = 63    ------------- (2)

On solving (1) and (2), we get

4x + y = 108

x + y = 63

------------------

3x = 45

x = 15

Substitute x = 15 in (2), we get

x + y = 63

15 + y = 63

y = 63 - 15

y = 48.

Therefore the number of prizes worth 100 = 15.

The number of prizes worth 25 = 48.

Verification;

15 * 100 + 48 * 25

1500 + 1200

= 2700.