Respuesta :
Answer:
$4 is the price of a citizen ticket and $3 is the price of a student ticket.
Step-by-step explanation:
Given:
Krystal's school is selling tickets to annual talent show.
The total ticket sold on the first day is 4 senior citizen tickets and 3 student tickets for a total of $25.
Now, to find the price of the student ticket and the price of the citizen ticket.
Let the price of a citizen ticket be [tex]x.[/tex]
Let the price of a student ticket be [tex]y.[/tex]
So, the total amount of the first day of the ticket sales:
[tex]4x+3y=25\ \ \ ....(1)[/tex]
According to question:
The total amount of the second day of the ticket sales:
[tex]4x+14y=58\ \ \ \ .....(2)[/tex]
Now, using the elimination method we solve the equation:
So, subtracting equation (1) from equation (2):
[tex]4x+14y-(4x+3y)=58-25\\\\4x+14y-4x-3y=58-25\\\\11y=33[/tex]
Dividing both sides by 11 we get:
[tex]y=3.[/tex]
The price of a student ticket = $3.
Now, substituting the value of [tex]y[/tex] in equation (1) we get:
[tex]4x+3y=25\\\\4x+3\times 3=25\\\\4x+9=25\\\\Subtracting\ both\ sides\ by\ 9\ we\ get:\\\\4x=16\\\\Dividing\ both\ sides\ by\ 4\ we\ get:\\\\x=4.[/tex]
The price of a citizen ticket = $4.
Thus, $4 is the price of a citizen ticket and $3 is the price of a student ticket.
