A Textbook of Mathematics for Class VIII
46. The organisers of an essay competition decide that a winner in the competition gets a prize of
Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money
distributed is Rs 3,000. Find the number of winners, if the total number of participants is 63.hp you
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Answer:
19 winners
Step-by-step explanation:
Let the number of winners be 'x'.
So, the number of non-winners will be (63 - x) (subtracting all of the winners).
And the prize money won by non-winners will be 25(63-x).
The prize money given to winners will then be 100x
Solving the question-
100x + 25 ( 63 - x ) = 3000
100x + 1575 - 25x = 3000
75x = 3000 - 1575
75x = 1425
x = 1425/75
x = 19 (No. of winners)
Therefore, the number of winners is 19.
Hope this helps...
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