Given:
The cost of a ticket to the circus is $15.00 for children and $37.00 for adults. On a certain day, attendance at the circus was 900 and the total gate revenue was $24,500.
Required:
We need to find that how many childern and adults were there
Explanation:
Consider number of children as x and number of adults as y
so by attendance at the circus was 900 we can say that and call that equation as 1
[tex]x+y=900[/tex]
and by cost of a ticket to the circus is $15.00 for children and $37.00 for adults and total revenue was $24,500 we can say that and called that equation as 2
[tex]15x+37y=24500[/tex]
now multiply eq 1 with 15 and thn substract from eq 2
[tex]\begin{gathered} 15x+37y-15x-15y=24500-13500 \\ 22y=11000 \\ y=500 \end{gathered}[/tex]
substitute the value of y in eq 1 to find the x
[tex]\begin{gathered} x+500=900 \\ x=400 \end{gathered}[/tex]
Final answer:
The number of children was 400 and the number of adult was 500
