16. The organisers of an essay competition decide that a winner in the
competition gets a prize of 5100 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.
Answers
Answer:
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
\Rightarrow x=\frac{1425}{75}
⇒ x = 19
∴, the numbers of winners are 19.
Answer:
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
\Rightarrow x=\frac{1425}{75}⇒x=
75
1425
⇒ x = 19
∴, the numbers of winners are 19.