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

$\bold{\huge{\underline{\underline{\rm{ Answer :}}}}}$

19

$\bold{\huge{\underline{\underline{\rm{ Explanation :}}}}}$

✰ Given ,

➮ prize given to the participants who did not win =Rs25

➮ Total prize money =Rs 3,000

➮ Total number of participants=63

✰Solution

Let the number of winners=x

★ Then ,

✰Total no. Of participants = Number of winners+ Number of participants who did not win

✰ 63=x + Number of participants who did not win

✰63-x= Number of participants who did not win

✰ Number of participants who did not win=63-x

➮ Total amount given to the winners

= Number of winners × Amount Given to 1 winner

= X×100

=100x

★ Total amount Given to the participants who did not win= Number of participants who did not win× Amount Given to 1 participate

= (63-x)×25

=63×25-x×25

=1575-25x

➮ Total prize money= Total amount of given to winners + Total amount given to participate who did not win

➮ 3000=100x+1575-25x

➮ 100x1575-25x=3000

➮ 75x=3000-1575

➮ 75x=1425

➮x= 1425/75

➮ x= 19

Therefore, the numbers of winners= 19

Answer 2

Answer:

19

\bold{\huge{\underline{\underline{\rm{ Explanation :}}}}}

Explanation:

✰ Given ,

➮ prize given to the participants who did not win =Rs25

➮ Total prize money =Rs 3,000

➮ Total number of participants=63

✰Solution

Let the number of winners=x

★ Then ,

✰Total no. Of participants = Number of winners+ Number of participants who did not win

✰ 63=x + Number of participants who did not win

✰63-x= Number of participants who did not win

✰ Number of participants who did not win=63-x

➮ Total amount given to the winners

= Number of winners × Amount Given to 1 winner

= X×100

=100x

★ Total amount Given to the participants who did not win= Number of participants who did not win× Amount Given to 1 participate

= (63-x)×25

=63×25-x×25

=1575-25x

➮ Total prize money= Total amount of given to winners + Total amount given to participate who did not win

➮ 3000=100x+1575-25x

➮ 100x1575-25x=3000

➮ 75x=3000-1575

➮ 75x=1425

➮x= 1425/75

➮ x= 19

Therefore, the numbers of winners= 19

Step-by-step explanation:

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