Question

16. The organisers 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 3,000. Find
the number of winners, if the total number of participants is 63.​

Answer 1

Answer:

76 is the total no. of winners

Step-by-step explanation:

1. x=no. of non winner participants
2. y=no. of winners
3. given x+y = 63
4. A.T.Q. 300=25x+100y
5. by solving upper equation, we will get y=30- x/4
6. x+y= 63
7. x+30-x/4 = 63
8. by solving, x=44
9. by putting this value of x in 4th step we will get y=76

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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