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 sold

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 sold      Log On


   



Question 188945: 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 jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let a=no of adult tickets sold
s=no of student tickets sold
3a+2s=824
a=2s
Subsitutiting 2s for a, we get:
3*(2s)+2s=824
6s+2s=824
8s = 824
s=103
Since, a=2s we get
a=2*103
a=206
Then, there were 206 adult tickets and 103 student tickes sold for the concert