The organizers of a quiz competition
decided that the winner in the
competition will get a prize of 200 and a
participant who does not win will get a
prize of 50. The total prize money
distributed is 12,000. Find the number
of winners, if the total number of
participants is 120.
Answers
Answer: 40
Step-by-step explanation:
total money distributed= rs.12000
money each winner got= rs.200
money each participant who didn't win get= rs.50
let the winners be x
then the participants who didn't win = total participants - winners
= 120-x
total money distributed among winners = x*200= 200x
total money distributed among the participants who didn't win= 50[120-x]
= 6000-50x
no.of winners = 200x + 6000 -50x = 12000
150x+6000=12000
150x= 12000-6000
150x= 6000
x= 6000/150
x= 40[winners]
Answer:
total money distributed= rs.12000
money each winner got= rs.200
money each participant who didn't win get= rs.50
let the winners be x
then the participants who didn't win = total participants - winners
= 120-x
total money distributed among winners = x*200= 200x
total money distributed among the participants who didn't win= 50[120-x]
= 6000-50x
no.of winners = 200x + 6000 -50x = 12000
150x+6000=12000
150x= 12000-6000
150x= 6000
x= 6000/150
x= 40[winners]