Let x be the number of child tickets sold
Let y be the number of adult tickets sold
Amount received for the child tickets: 5.90x
Amount received for the adult tickets: 9.40y
Total sales of 1001.30:
[tex]5.90x+9.40y=1001.30[/tex]
127 tickets were sold:
[tex]x+y=127[/tex]
Use the two equations above as a system of equations, to solve it:
1. Solve y in the second equation.
[tex]y=127-x[/tex]
2. Use the value you get in step 1 to substitute y in the first equation:
[tex]5.90x+9.40(127-x)=1001.30[/tex]
3. Solve x:
[tex]\begin{gathered} 5.90x+1193.8-9.40x=1001.30 \\ -3.5x+1193.8=1001.30 \\ -3.5x=1001.30-1193.8 \\ -3.5x=-192.5 \\ x=\frac{-192.5}{-3.5} \\ \\ x=55 \end{gathered}[/tex]
The value of x is 55
Then, the number of child tickets is 55
