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?

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