Question

In a writing competition, it is decided that a winner will get a prize of 500 and a participant who does not win will get a prize of 100. The total prize money distributed is 10,000. Find the number of winners, if the total number of participants is 36.

Answer 1

In a writing competition with 36 participants, there are 16 winners.

Step-by-step explanation:

To find the number of winners in the writing competition, we can set up a system of equations. Let's assume the number of winners is x.

Since the total number of participants is 36 and the number of non-winners is 36 - x, we can write two equations:

x * 500 + (36 - x) * 100 = 10,000

Simplifying the equation, we get 500x + 3600 - 100x = 10,000.

Combining like terms, we have 400x + 3600 = 10,000.

Subtracting 3600 from both sides, we get 400x = 6,400.

Dividing both sides by 400, we find that x = 16.

Therefore, there are 16 winners in the competition.

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