SOLUTION: Tickets to a movie were sold at $4.00 per adult and $2.50 per student. If 240 tickets were sold for a total of $765.00, how many student tickets were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets to a movie were sold at $4.00 per adult and $2.50 per student. If 240 tickets were sold for a total of $765.00, how many student tickets were sold?      Log On


   

Question 149571: Tickets to a movie were sold at $4.00 per adult and $2.50 per student. If 240 tickets were sold for a total of $765.00, how many student tickets were sold?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let "x" = ticket for adults
"y" = ticket for students
So x%2By=240+tickets ------> eqn 1
Also
($4x)+($2.50y) = $765.00 ------> eqn 2
In eqn 1 we get, x=240-y then substitute this in eqn 2,
4(240-y) + 2.50y = 765
960-4y + 2.50y = 765
960-765=4y-2.50y
195=1.5y
y=130+tickets+for+students
x=240-130=110+tickets+for+adults
in doubt? Go back eqn 2,
$4(110) + $2.50(130) = $765
$440 + $325 = $765
$765 = $765
Thank you,
Jojo