SOLUTION: Write a system of two equations in two unknowns for each problem.Solve each system by substitution. Ticket sales: Tickets for a concert were sold to adults for $3 and to studen

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Question 201149: Write a system of two equations in two unknowns for each problem.Solve each system by substitution.
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 students tickets were sold, then how many of each were sold?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3A+2S=824
A=2S
3(2S)+2S=824
6S+2S=824
8S=824
S=824/8
S=103 NUMBER OF STUDENT TICKETS WERE SOLD.
A=2*103=206 NUMBER OF ADULT TICKETS WERE SOLD.
PROOF:
3*206+2*103=824
618+206=824
824=824