Question

The organizer of an essay competition decide that a winner in the competition get a prize of ₹100 and a participant who does not win gets a prize of ₹ 25 . The total prize money distributed is ₹ 3000 . Find the number of winner , if the total number of participants is 63.​

Answer 1

Answer:

hope my answer is correct

Answer 2

Given : The organizer of an essay competition decide that a winner in the competition get a prize of ₹100 and a participant who does not win gets a prize of ₹25. The total prize money distributed is ₹3000.

To Find : Find the number of winners ?

______________

Solution : Let the number of winner be x.

• The number of non-winner participants be 63 - x
• Total money given to the winner be x × 100 = 100x
• Total money given to non-winner participants be 25 × 63 -x

$~$

$\underline{\frak{\pmb{According~ to ~the ~given~ question~:}}}$

$~$

$\qquad{\sf:\implies{100x ~+ ~25 ~\times~ (63~ - ~x)~= ~3000}}$

$\qquad{\sf:\implies{100x ~+ ~1575 ~- ~25x~= ~3000}}$

$\qquad{\sf:\implies{75x~= ~3000~ - ~1575}}$

$\qquad{\sf:\implies{75x~= ~1425}}$

$\qquad{\sf:\implies{\cancel\dfrac{1425}{75}}}$

$\qquad{:\implies{\underline{\boxed{\pmb{\frak{\pink{x~=~19 }}}}}}}$★

$~$

Hence,

• The number of winner is 19.