Question

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

Answer 1

Answer:

The total sum of money = 3000

Let the number of winners of 100 be x

And those who are not winners = 63 - x

According to the question, 100\times x+25\times\left(63-x\right)=3000100×x+25×(63−x)=3000

\Rightarrow\ 100x+1575-25x=3000⇒ 100x+1575−25x=3000

\Rightarrow\ 75x+1575=3000⇒ 75x+1575=3000

\Rightarrow\ 7x+1575-1575=3000-1575⇒ 7x+1575−1575=3000−1575

[Subtracting 1575 from both sides]

\Rightarrow\ 7x=1425⇒ 7x=1425

\Rightarrow\ \frac{7x}{7}=\frac{1425}{7}⇒

7

7x

=

7

1425

[Dividing both sides by 7]

x = 19

Hence the number of winner is 19.

Step-by-step explanation:

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Answer 2

Solution :- 19

Step By Step Explanation :-