# The organizers of an essay competition decide that a winner gets a prize of Rs.100 and who does not win gets a prize of Rs.25. The total prize money distributed is 3000. Find the no. of winners if no. of participants is 63.

An equation is a mathematical statement that shows equality between two different algebraic expressions or constants.

## Answer: The number of winners who received a prize of Rs.100 is 19 where the total number of participants in the essay competition is 63.

Let's look into the stepwise solution

**Explanation:**

Given: Total number of participants = 63

Total prize money distributed = Rs.3000

Let the number of winners be x.

According to the question,

The amount won by winners will be Rs.100 x

The number of people who do not win = (63 - x)

So, the amount received by the participants who don't win = Rs. 25 × (63 - x)

Therefore,

Amount won by winners + Amount received by the participants who don't win = 3000

⇒ 100 x + 25 × (63 - x) = 3,000

⇒ 100 x + 1,575 - 25 x = 3,000

⇒ 100 x - 25 x = 3,000 - 1,575

⇒ 75 x = 1,425

⇒ x = 1,425 / 75

⇒ x = 19

### Thus, the number of winners who won Rs.100 as a prize is 19.

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