Given:
The cost of adult tickets = $5.
The cost of student tickets = $2.
The total number of tickets = 202.
The total cost = $764.
Aim:
We need to find the cost of the adult ticket.
Explanation:
Let x be the number of adult tickets.
Let y be the number of student tickets
Given that the total number of tickets is 202.
[tex]x+y=202[/tex]Substract x from both sides of the equation.
[tex]y=202-x[/tex]Given that the total cost is $764.
[tex]5x+2y=764[/tex][tex]\text{ Substitute }y=202-x\text{ in the equation to find the value of x.}[/tex][tex]5x+2(202-x)=764[/tex]Solve for x.
[tex]5x+404-2x=764[/tex][tex]5x-2x=764-404[/tex][tex]3x=360[/tex]Divide both sides by 3.
[tex]\frac{3x}{3}=\frac{360}{3}[/tex][tex]x=120[/tex]Final answer:
The number of adult tickets = 120 tickets.
