the organisers of an essay competition decide that a winner in the com

1.	the organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25 .the total prize money is distributed is ₹3000 .find the number oof winners,if total participants are 63
Answer» Answer: Correct OPTION is C 19 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= 3 57 =19 ∴ The number of winners is 19. Step-by-step explanation: please give thank and please mark as brilliant

the organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25 .the total prize money is distributed is ₹3000 .find the number oof winners,if total participants are 63

Answer»

Answer:

Correct OPTION is

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=

=19

∴ The number of winners is 19.

Step-by-step explanation:

please give thank and please mark as brilliant