16. The organisers of an essay competition decide that a winner in the
a prize of 25. The total prize money distributed is 3,000. Find the
competition gets a prize of 7 100 and a participant who does not win
number of winners, if the total number of participants is 63.
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Answered by
3
Answer:
Step-by-step explanation:
let the no. of winners be x
the no. of participants not winning the the are (63 - x)
according to the question,
100x + 25(63- x)=3000
=100x + 1575- 25x=3000
=100x - 25x =3000- 1575
=75x = 1425
=x =1425/75 = 19.(ans)
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Answered by
1
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.
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