Question

The
organizers of an essay competition decide that a winner in the
competition gets a prize of Rs 100 and a participant who does not win
gets 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

Answer:

number of winners. 19

Step-by-step explanation:

let X number of winners

Y- number of participant who does not win

total participant s X+Y= 63_____(1)

therefore 100X+25Y= 3000

. 4x+Y==120_____(2)

(2)-(1)_4x+y=120-

x+y=63

_________

3x=57

x=57/3

x=19

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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