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
16. The organisers of an essay competiti
number of winners, if the total number of participants is 63.
Answers
Answer:
19 and 44
Step-by-step explanation:
let no. of prticipants who win be = x
and no.of participant who does not win be= 63-x [ as there are total 63 participants ]
amount of money that a participant who wins get = 100
total amount of money for participants who win = 100x
amount of money on participant who doesn't win = 25
total amount of money for participants who doesnot win = 25 [ 63- x ]
= 1575 - 25x
total amount of money = 3,000
100x+1575 - 25x = 3,000
75x + 1575 = 3,000
75x = 3,000-1575
75x = 1425
x = 1425 / 75
x = 19
no . of participants who win = x= 19
no. of participants who doesnot win = 63 - 19 =44
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.