SOLUTION: Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were so

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were so      Log On


   



Question 185997: Ticket sales. Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Ticket sales. Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?
:
let number of adult and student tickets be a and s respectively
:
a=2s......eq 1
3a+2s=824..eq 2
:
take a's value from eq 1 and plug it into eq 2
:
3(2s)+2s=824
:
8s=824
:
highlight%28s=103%29number of student tickets
:
a=2s=2%28103%29=highlight%28206%29number of adult tickets