Answer:
The number of student's tickets sold was 7
Step-by-step explanation:
Let
x ----> number of adult's tickets sold
y ----> number of student's tickets sold
we know that
[tex]x+y=23[/tex] ----> [tex]x=23-y[/tex] ---> equation A
[tex]13x+9y=271[/tex] ----> equation B
solve the system by substitution
substitute equation A in equation B
[tex]13(23-y)+9y=271[/tex]
solve for y
[tex]299-13y+9y=271[/tex]
[tex]13y-9y=299-271[/tex]
[tex]4y=28[/tex]
[tex]y=7[/tex]
therefore
The number of student's tickets sold was 7