SOLUTION: The top grossing domestic movie in 2016 was finding dory.On opening weekend one theater showing this movie took in $20520 by selling a total of 2460 tickets some at $9 and the rest

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The top grossing domestic movie in 2016 was finding dory.On opening weekend one theater showing this movie took in $20520 by selling a total of 2460 tickets some at $9 and the rest      Log On


   



Question 1144804: The top grossing domestic movie in 2016 was finding dory.On opening weekend one theater showing this movie took in $20520 by selling a total of 2460 tickets some at $9 and the rest at $7.how many tickets were sold at each price?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the number of $9 tickets sold
Let +b+ = the number of $7 tickets sold
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(1) +a+%2B+b+=+2460+
(2) +9a+%2B+7b+=+20520+
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Multiply both sides of (1) by +7+ and
subtract (1) from (2)
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(2) +9a+%2B+7b+=+20520+
(1) +-7a+-+7b+=+-17220+
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+2a+=+3300+
+a+=+1650+
and
(1) +1650+%2B+b+=+2460+
(1) +b+=+810+
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1,650 were sold @ $9 ea.
810 were sold @ $7 ea.
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check:
(2) +9a+%2B+7b+=+20520+
(2) +9%2A1650+%2B+7%2A810+=+20520+
(2) +14850+%2B+5670+=+20520+
(2) +20520+=+20520+
OK