Answer :
Let x represent cost of each ticket and y represent cost of parking.
We have been given that the Singh's spent $335 for 5 people and parking. We can represent this information in an equation as:
[tex]5x+y=335...(1)[/tex]
We are also told that the Robinson spent $465 for 7 people and parking. We can represent this information in an equation as:
[tex]7x+y=465...(2)[/tex]
Now we will use elimination method to solve our given system of equations.
Upon subtracting equation (1) from equation (2), we will get:
[tex]7x-5x+y-y=465-335[/tex]
[tex]2x=130[/tex]
[tex]\frac{2x}{2}=\frac{130}{2}[/tex]
[tex]x=65[/tex]
Therefore, the each ticket costs $65.
Upon substituting [tex]x=65[/tex] in equation (1), we will get:
[tex]5(65)+y=335[/tex]
[tex]325+y=335[/tex]
[tex]325-325+y=335-325[/tex]
[tex]y=10[/tex]
Therefore, the parking costs $10.