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Question 935345: A small seminar hall can hold 100 chairs. Three different chair colors (red, blue, green) are available. The cost of a red chair Rs.240 cost of blue chair is Rs.260 and the cost of green chair is Rs. 300. The total cost of chair is 25000. Find at least 3 different solutions of the number of chairs in each color to be purchased.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = number of red chairs
y = number of blue chairs
z = number of green chairs
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x + y + z = 100
240x + 260y + 300z = 25000
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first, assume that:
x = 60
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put the system of linear equations into standard form
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x + y + z = 100
240x + 260y + 300z = 25000
x = 60
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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 = number of red chairs = 60
y = number of blue chairs = 35
z = number of green chairs = 5
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second, assume that:
y = 41
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x + y + z = 100
240x + 260y + 300z = 25000
y = 41
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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 = number of red chairs = 56
y = number of blue chairs = 41
z = number of green chairs = 3
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third, assume that:
z = 1
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x + y + z = 100
240x + 260y + 300z = 25000
z = 1
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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 = number of red chairs = 52
y = number of blue chairs = 47
z = number of green chairs = 1
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