Question

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​

Answer 1

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Let x be the number of winners.

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.

Answer 2

Let x be the number of winners.

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.