SOLUTION: Tickets to a concert cost $15.00 for the balcony and $20.00 for an orchestra seat. If 540 tickets were sold for a total price of $9,750.00, how many balcony tickets was sold?

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Question 304824: Tickets to a concert cost $15.00 for the balcony and $20.00 for an orchestra seat. If 540 tickets were sold for a total price of $9,750.00, how many balcony tickets was sold?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
B+R=540 OR B=540-R
15B+20R=9.750
15(540-R)+20R=9,750
8,100-15R+20R=9,750
5R=9,750-8,100
5R=1,650
R=1,650/5
R=330 ORCHESTRA TICKETS SOLD.
540-330=210 BALCONY TICKETS SOLD.
PROOF:
15*210+20*330=9,750
3,150+6,600=9,750
9.750=9.750