We need to find the number of child tickets sold that day.
We know that child admission is $5.80 and adult admission is $9.00.
Let's call x the number of child tickets and y the number of adult tickets sold that day.
Since 132 tickets were sold, we have:
[tex]x+y=132[/tex]Also, they were sold for a total sales of $960.80. Thus, we have:
[tex]5.8x+9y=960.8[/tex]Then, we can isolate y in the first equation, then write its expression in terms of x in the second equation. We obtain:
[tex]\begin{gathered} x+y-x=132-x \\ \\ y=132-x \end{gathered}[/tex][tex]\begin{gathered} 5.8x+9(132-x)=960.8 \\ \\ 5.8x+1188-9x=960.8 \\ \\ (5.8-9)x+1188-1188=960.8-1188 \\ \\ -3.2x=-227.2 \\ \\ \frac{-3.2}{-3.2}x=\frac{-227.2}{-3.2} \\ \\ x=71 \end{gathered}[/tex]Answer: The number of child tickets sold was 71.
