Question

There were 220 tickets sold for a school wrestling match. Tickets were $2.50 for adults and $1.50 for students. The total amount collected was $465. How many of each type of ticket were sold?

Answer 1

220=A+S     (adult plus student)
s=220-a

2.50a+1.50s=465
1.50s=-2.50a+465
s=-1.67a+310

then set those equal to each other
220-a=-1.67a+310
220=-.67a+310
-90=-.67a
.67a=90
a=60

then put a back into the first equation

220=S+A
220=s+60
s=160

a=60, s=160