Question

Competition gets a prize of 100 and a participant who does not win gets

Answer 1

Answer:

Number of Winners

=

19

Explanation:

Let -

Number of Winners

=

x

Number of participants who do not win

=

y

We can form two equations -

x +y=63

------------- (1) [Total participants]

100x+25y=3000

----(2) [Total Prize money]

Solve equation (1) for

x

x=63−y

Substitute

x

=

63

−

y

in equation (2)

100

(

63

−

y

)

+

25

y

=

3000

6300

−

100

y

+

25

y

=

3000

−

75

y

=

3000

−

6300

=

−

3300

y

=

−

3300

−

75

=

44

Substitute

y

=

44

in equation (1)

x

+

44

=

63

x

=

63

−

44

=

19

x

=

19

Number of Winners

=

19