Question

The organizers of an essay competition decided that a winner in the
competition will get a prize of 1000 and a participant who does not win will
get a prize of 250. The total prize money distributed was 20000. Find the
number of winners, if the total number of participants was 50.
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Answer 1

Question?

The organizers of an essay competition decided that a winner in the competition will get a prize of 1000 and a participant who does not win will get a prize of 250. The total prize money distributed was 20000. Find the number of winners, if the total number of participants was 50.

Answer:-

Number of winners for the competition are 19.

Step by step explaination:-

$\large{\underline{\sf{\red {Given:- }}}}$

• The organizers of an essay competition decided that a winner in the competition will get a prize of 1000 and a participant who does not win will get a prize of 250.
• The total prize money distributed was 20000.

$\large{\underline{\sf{\blue {To \: find:- }}}}$

• Find the number of winners, if the total number of participants was 50.

$\large{\underline{\sf{\orange {According \: to \: Question:- }}}}$

$\implies \bf{100x + 25 (63-x) = 3000}$

$\implies \bf{1100x + 1575 - 25x = 3000}$

$\implies \bf{75x = 3000-1575}$

$\implies \bf{</p><p>75x = 1425}$

$\implies \bf{x = \frac{1425}{75} }$

$\implies \bf{x = 19}$

$\pink {\boxed{ \sf{ \pink{Therefore \: the \: number \: of \: winners \: for \: the \: competition \: are \: 19.}}}}$