Question

The organizes of aquiz competition decided that the winner in the comptition 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 £12000. Find the number of winners, if the total number of partcipants is 120.

Answer 1

The organizes of aquiz competition decided that the winner in the competition will get a prize of 200 rupees
so, winner get 200 rupees

let no of winner be x

participant who does not win will get a prize of 50 rupees
so, participant will get 50 rupees

total participants is 120

The total prize money distributed is 12000 rupees
total prize = 12000

so, 200x + 120×50 = 12000
200x + 6000 = 12000
200x = 12000 - 6000
200x = 6000
x = 6000/200
x = 30

so, total no of winner is x = 30

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