SOLUTION: At a local high school city championship basketball game, 1435 tickets were sold. A student admission ticket cost $1.50 and an adult admission ticket cost $5.00. The total tick

Algebra ->  Trigonometry-basics -> SOLUTION: At a local high school city championship basketball game, 1435 tickets were sold. A student admission ticket cost $1.50 and an adult admission ticket cost $5.00. The total tick      Log On


   

Question 708689:
At a local high school city championship basketball game, 1435 tickets were sold. A student admission ticket cost $1.50 and an adult admission ticket cost $5.00. The total ticket receipts for the basketball game were $3552.50. How many of each type of ticket were sold?
Make a system to solve.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
A+S=1435
A=1435-S
5A+1.50S=3552.50
5(1435-S)+1.50S=3552.50
7175-5S+1.5S=3552.50
-3.5S=3552.5-7175
-3.5S=-3622.50
S=-3622.50/-3.5
S=1035 NUMBER OD STUDENT TICKETS SOLD.
A+1035=1435
A=1435-1035
A=400 NUMBER OF ADULT TICKETS SOLD.
PROOF:
5*400+1035*1.50=3552.50
2000+1552.50=3552.50
3552.50=3552.50