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:

Let x be the number of the winners. So, the number of participants who does not win (63−x).

Prize money given to x winners = Rs. (100×x)= Rs. 100x

and prize money given to (63−x) participants = Rs. 25(63−x)

Given, total prize money distributed = Rs. 3000

∴100x+25(63−x)=3000 

⇒4x+(63−x)=120            ...[On dividing both sides by 25]

⇒3x+63=120

⇒3x=120−63             ...[Transposing 63 to RHS]

⇒3x−57⇒x=357=19

∴ The number of winners is 19.

Answer 2

$\huge { \boxed{ \underline{ \sf{ \orange{Question?}}}}}</p><p>$

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.

$\huge { \boxed{ \underline{ \sf{ \purple{Answer:- }}}}}$

✿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.

★━━━━━━✩━━━━━━★

Hope it helps you!

Mark as Brainliest ✌️

★━━━━━━✩━━━━━━★