Question

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 answer is 19

Step-by-step explanation:

let the no. of winners be x

then,

the no. of participants not winning the the are (63 - x)

so,

according to the question,

100x + 25(63- x)=3000

=^100x + 1575- 25x=3000

=^100x - 25x =3000- 1575

=^75x = 1425

=^x =1425/75 = 19.(ans)

..

Answer 2

Answer:

19 WINNERS

Step-by-step explanation:

x=no.of participate

y= Number of non participate

x+y= 63

100x+25y=3000

Equation 1 is multiplied by 100

100x + 100y= 6300

-75= -3300

y= 3300/75

y= 44 non-winner

Number  of non-winners

x= 63-44

= 19 winner