SOLUTION: Tickets for a Brittany Spears concert sold for $80 for floor seats and $60 for balcony seats. For one performance, 4,000 tickets were sold, bringing in $288,800. How many of each t

Question 831832: Tickets for a Brittany Spears concert sold for $80 for floor seats and $60 for balcony seats. For one performance, 4,000 tickets were sold, bringing in $288,800. How many of each ticket were sold?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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60x + 80y = 288800
x + y = 4000
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution by matrix method:
x = balcony = 1560
y = floor = 2440
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now by substitution:
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60x + 80y = 288800
x + y = 4000
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60x + 80y = 288800
y = 4000 - x
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60x + 80(4000 - x) = 288800
60x + 80*4000 - 80x = 288800
-20x = -31200
x = -31200/-20
x = 1560
y = 4000 - 1560
y = 2440
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solution by substitution method:
x = balcony = 1560
y = floor = 2440
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