Question

The organisers of an essay competition decide that a winner in the competition will get a prize of 100 and a participant who does not wih will get a prize of 25. The total prize money distributed is 73000. Find the number of winners if the total number of participants is 63.​

Answer 1

$\huge \mathcal \colorbox{lightblue}{solution}$

Let the number of winners be x .

Therefore , number of participants who do not win = 63-x

According to the question ,

x×100 + (63-x)×25= 3000

= 100x + 63×25 - 25x = 3000 -1575 (by transposing)

= 100x -25x = 3000 -1575

=

$x = \frac{1425}{75} = 19$

Therefore, number of winners

$\huge \mathcal \colorbox{lightblue}{ = 20}$

Answer 2

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