Answer
81 student tickets, 230 non-student tickets
Work Step by Step
We first write the two equations given the information provided in the problem:
$ s + n = 311$
$ .5s + 1.5n = 385.5$
We multiply the second equation by two and subtract the second from the first:
$-2n = -460$
$n = 230$
Substituting back into the original equation, we find that the number of student tickets sold is 81.