Question

The organisers of an essay competetion decide that a winner in the competetion gets a prize of Rs. 100 and a participant who does not win gets a prize of Rs. 25. The total prize money distributed is Rs. 3,000. Find the number of winners, if the total number of participants is 63.

Answer 1

Answer:19winners

Step-by-step explanation:

Winner =x. Remain=63-x

x*100+(63-x)*25=3000

100x+1575-25x=3000

3x=57

So x=19winner s

Thanks

Answer 2

Given:

• Amount the winner would receive = Rs. 100
• Amount the participant who does not win receives = Rs. 25
• Total prize money distributed = Rs. 3000
• Total number of participants = 63

To Find:

The number of winners, if the total number of participants is 63.

Solution:

Let us consider the number of winners as x

Then, as per the given information,

Number of participants who didn't win $=63-x$

Total money given to the winner $=x \times 100=100x$

Total money given to participant who didn't win $=25 \times (63-x)$

According to the question,

$100x+25 \times (63-x)=3000\\\implies 100x+1575-25x=3000\\\implies 75x=3000-1575\\\implies 75x=1425$

Now, finding x,

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

∴ The numbers of winners are 19