Question

The sum of rs3000 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

Answer 1

Total Sum of the prize = Rs 3000

Define x:

Let the number of Rs 100 prize be x

The number of Rs 25 prize is (63 - x)

Form equation and solve x:

100x + 25(63 - x ) = 3000

100x + 1575 - 25x = 3000

75x = 1425

x = 19

Find the number of each prize:

Rs100 prize = x = 19

Rs25 prize  = 63 - x = 63 - 19 = 44

Answer: There are 19 Rs 100 prizes and 44 Rs 25 prices.

Answer 2

☺☺here is your answer OK

Here is the answer to your question.

Total sum = Rs 3000
Total number of prizes = 63
Let the number of prizes, each of Rs 100 be 'x’ and number of prizes, each of Rs 25 be 'y'
Then according to question
x + y = 63 (1)
100x + 25y = 3000 (2)

Equation (2) gives 4x + y = 120 (3)

Subtracting equation (1) form equation (3):

4x + y – x – y = 120 – 63
3x = 57
x = 19

Putting x = 19 into equation (1)
19 + y = 63
y = 63 – 19 = 44

Number of prizes, each of Rs 100 = 19
Number of prizes, each of Rs 25 = 44

Hope! This helps you.