SOLUTION: There were 200 tickets sold for a football game. Tickets were $1.50 for students and $3 for adults. The total amount collected was $495. How many of each type of ticket was sold?

Algebra ->  Equations -> SOLUTION: There were 200 tickets sold for a football game. Tickets were $1.50 for students and $3 for adults. The total amount collected was $495. How many of each type of ticket was sold?      Log On


   

Question 488304: There were 200 tickets sold for a football game. Tickets were $1.50 for students and $3 for adults. The total amount collected was $495. How many of each type of ticket was sold?
Answer by mervh1967(6) About Me  (Show Source):
You can put this solution on YOUR website!
Set number Adult tickets=A
Set number Student tickets=S
You can now write 2 equations:
A%2BS=200 Eqn1. Adult tickets + Student tickets = 200
A%2A3%2BS%2A1.5=495 Eqn2. Adult tickets*$3 + Student tickets*$1.50 = $495
from eqn 1
S=200-A and insert into Eqn2.
A%2A3%2B1.5%2A%28200-A%29=495
A%2A3%2B300-1.5%2AA=495
1.5%2AA=195
A=130
and from Eqn1.
S=200-A=200-130=70
merv