SOLUTION: [ Tickets to a football match cost $8, $15 or $20 each. The number of $15 tickets sold was double the number of $8 tickets sold. 6000 more $20 tickets were sold than $15 tickets. I
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-> SOLUTION: [ Tickets to a football match cost $8, $15 or $20 each. The number of $15 tickets sold was double the number of $8 tickets sold. 6000 more $20 tickets were sold than $15 tickets. I
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Question 825220: [ Tickets to a football match cost $8, $15 or $20 each. The number of $15 tickets sold was double the number of $8 tickets sold. 6000 more $20 tickets were sold than $15 tickets. If the gate receipts totaled $783000 how many of each type ticket were sold? ] Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
x = $8 tickets
y = $15 tickets
z = $20 tickets
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y = 2x
z = y + 6000
8x + 15y + 20z = 783000
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put the system of linear equations into standard form
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2x - y = 0
y - z = -6000
8x + 15y + 20z = 783000
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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:
x = $8 tickets = 8500
y = $15 tickets = 17000
z = $20 tickets = 23000
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system matrix
2 -1 0
0 1 -1
8 15 20
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inverse of system matrix
0.44871795 0.25641026 0.012820513
-0.1025641 0.51282051 0.025641026
-0.1025641 -0.48717949 0.025641026
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determinant of system matrix = 78
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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