A school concert has students tickets for $7 and nonstudents tickets for $12. If the school made $1973 selling 214 tickets? How many student tickets were sold? How many nonstudent tickets were sold?

x=number of tickets sold for students

y=number of tickets sold for nonstudents

7x+12y = 1973

x+y = 214

using system of equations we get

7(214-y)+12y=1973

1498-7y+12y=1973

1498+5y=1973

5y=475

y=95

and x=119

so 95 nonstudent tickets were sold :)