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