Answer:
price of senior citizen ticket is $8 and price of child ticke be $14.
The plot is as attached. the ordered pair is (8,14)
Step-by-step explanation:
Let price of senior citizen ticket be $x and price of child ticke be $y.
we are given that On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38.
Then we can write
[tex]3x+y=38..(i)[/tex]
The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
So we can write
[tex]3x+2y=52...(ii)[/tex]
Now solve above two equations togethere we get
[tex]3x+2(38-3x)=52\\3x+76-6x=52\\-3x=52-76\\-3x=-24\\x=8[/tex]
[tex]y=38-3*8\\y=38-24\\y=14\\[/tex]
price of senior citizen ticket is $8 and price of child ticke be $14.
In slope intercept form the above equation can be written as
[tex]y=38-3x[/tex]
[tex]y= - (3/2)x+26[/tex]
The plot is as attached. the ordered pair is (8,14)
