SOLUTION: 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 man

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: 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 man      Log On


   

Question 166703: 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?
How is this sort of problem set up? and the necessary steps to solve?
Thanks,
Zach Cottrell
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
cost times number equals receipts

"total receipts were $824" __ 3a+2s=824

"twice as many adult tickets as student tickets were sold" __ a=2s

substituting __ 3a+(a)=824 __ 4a=824 __ a=206

substituting __ 206=2s __ 103=s