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 :)