I presume the text of the question is:

'Adult tickets for a concert cost eight dollars each, student tickets cost five dollars each. A total of 55 tickets were sold worth $365. How many adult tickets and student tickets were sold?'

Let

a = the number of adult tickets sold, a>=0

s = the number of student tickets sold, s>=0

Total of 55 tickets were sold means:

a + s = 55

The cost of 55 tickets is $365:

8a + 5s = 365

We have the following system of equations:

a + s = 55

8a + 5s = 365

........

click here to see the system of equations solved for a and s

........

a = 30 adult tickets

s = 25 student tickets

There were 30 adult and 25 student tickets sold.