Question

A total of

Answer 1

If we make $a$ an integer that represents the adults that bought tickets, and $s$ the number of students, then we have the equations $a+s=682$, and $a=68+s$. 

Using the second equation, we find that $s=a-68$, so we plug this value of $s$ into the first equation to get $a+(a-68)=682$. We simplify to find $2a=750$. We divide by $2$ to isolate the desired variable to get $a=\boxed{375\text{ adult tickets were sold}}$.