SOLUTION: 750 tickets were sold for a rock concert with a total revenue of $5,300. If granite tickets cost $8 each and limestone tickets cost $4.50 each, how many of each type of tickets wer

Question 942864: 750 tickets were sold for a rock concert with a total revenue of $5,300. If granite tickets cost $8 each and limestone tickets cost $4.50 each, how many of each type of tickets were sold?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = number of granite tickets
y = number of limestone tickets
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x + y = 750
8x + 4.50y = 5300
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put the system of linear equations into standard form
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x + y = 750
8x + 4.50y = 5300
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 550
y = 200
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now by elimination:
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(x + y = 750)*(-4.50)
8x + 4.50y = 5300
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-4.50x - 4.50y = 750*(-4.50)
8x + 4.50y = 5300
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add the two above equations:
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8x + -4.50x = 5300 + 750*(-4.50)
(8 - 4.50)x = 5300 + 750*(-4.50)
x = ( 5300 + 750*(-4.50) ) / (8 - 4.50)
( 5300 + 750*(-4.50) ) / (8 - 4.50)
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copy and paste the above expression in to this calculator:
https://sooeet.com/math/scientific-calculator.php
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x = 550
x + y = 750
550 + y = 750
y = 750 - 550
y = 200
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solution by elimination:
x = 550
y = 200
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