Let the number of adult ticket bought be a and the child ticket bought be c .
According to the first condition ,
[tex]a\text{ + c = 5 \_\_\_\_\_\_\_\_(1)}[/tex]According to the second condition ,
[tex]5c\text{ + 7a = 29 \_\_\_\_\_\_\_\_(2)}[/tex]Thus equation (1) and (2) shows the correct modeled equation for the given problem statements .