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.

16. The organisers of an essay competition decide that a winner in the

1.	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» The total sum of money = 3000Let the number of winners of 100 be xAnd those who are not winners = 63 - xAccording 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}⇒ 77x = 71425 [Dividing both sides by 7]x = 19Hence the number of winner is 19.Step-by-step EXPLANATION:please mark as brainliest n thank me