SOLUTION: In a movie house one thousand five hundred tickets were sold totaling 19650 How many tickets of each kind were sold if an orchestra ticket cost 12 each and the balcony ticket cos

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Question 702273:
In a movie house one thousand five hundred tickets were sold totaling 19650 How many tickets of each kind were sold if an orchestra ticket cost 12 each and the balcony ticket cost 14 each?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=1500
X=1500-Y
12X+14Y=19650
12(1500-Y)+14Y=19650
18000-12Y+14Y=19650
2Y=19650-18000
2Y=1650
Y=1650/2
Y=825 $14 DOLLAR TICKETS WERE SOLD.
1500-825=675 $12 DOLLAR TICKETS WERE SOLD.7
PROOF:
12*675+14*825=19650
8100+11550=19650
19650=19650