Question

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 distributed is ` 3,000. Find the
number of winners, if the total number of participants is 63.
2018- ​

Answer 1

Answer:

19 winners and 44 losers

Step-by-step explanation:

let people who win =X

then who lose=63-x

100x+25(63-x)=3000

100x+1575-25x=3000

75x=3000-1575

75x=1425

X=1425/75

X=19

therefore winners=19

loosers=63-19=44

Answer 2

Let the numbers of winner be x.

Then, the number of participants who didn’t win = 63 – x

Total money given to the winner = x × 100 = 100x

Total money given to participant who didn’t win = 25×(63-x)

According to the question,

100x + 25×(63-x) = 3,000

⇒ 100x + 1575 – 25x = 3,000

⇒ 75x = 3,000 – 1575

⇒ 75x = 1425

⇒ x = 1425/75

⇒ x = 19

Therefore, the numbers of winners are 19.