Question

45 students participate in a sporting event. The winners are awarded rupees 1000 and all the others are awarded ruppees 200 each gor participation. If the total amount of prize money distributed is ruppees 22,600 find the total number of winners​

Answer 1

The total number of winners is 17.

Explanation:

Let's assume that the number of winners is "x". Then the number of participants who did not win is "45 - x".

The amount of money awarded to the winners is 1000x rupees.

The amount of money awarded to the participants who did not win is 200(45 - x) rupees.

According to the question, the total amount of prize money distributed is 22600 rupees. So we can write:

`\sf\implies 1000x + 200(45 - x) = 22600`

Simplifying this equation:

`\sf\implies 1000x + 9000 - 200x = 22600`

`\sf\implies 800x = 13600`

`\sf\implies x = 17`

Therefore, the total number of winners is 17.

Hope it helps!