5. The organisers of an essay competition decide that a winner in 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
number of winners, if the total number of participants is 63.
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Answer:
Let the no. of winners be x
& the no. of runner ups be 63-x
100(x) + 25(63-x) = 3000
100x + 1575 - 25x = 3000
75x + 1575 = 3000
75x = 3000 - 1575
75x = 1425
x = 1425/75
x = 19
No. of winners = 19
No. of runner ups = 44.
Hope it helps you
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