Question

The organisers of an essay competition decides that a winner in a competition will get the prize of Rs 100 and participants who dose not win get a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners. If the total number of participants is 63

Answer 1

Number of prizes of 100= x,
number of prizes of 25=y.
So x+y=63
and 100x+25y=3000.
Solving, x=19. y=44.
Thank me if you get it.
Have a nice day.

Answer 2

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The organizers of an essay competition decide that a winner gets a prize of rs.100 and who doesn't wins get a prize of rs.25 the total prize money distributed is 3000 find the no. Of winners if no. Of participants is 63

Let x be the number of winners.

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✿Then the number of participants who do not win is given as (63 – x)

✿The prize money given to x winners = Rs ( 100x)

The prize money given to (63 – x) participants is = Rs 25(63 – x)

✿According to the given data, the total prize money distributed = Rs 3000

Therefore, 100x + 25(63 – x) = 3000

4x + (63 – x) = 120

3x + 63 = 120

x = 19

✿Therefore, the number of winners is 19.

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