SOLUTION: Katie has a collection of nickels, dimes and quarters with a total value of $8.15. There are 8 more dimes than nickels and 7 more quarters than nickels, how many of each coin does
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Question 927478: Katie has a collection of nickels, dimes and quarters with a total value of $8.15. There are 8 more dimes than nickels and 7 more quarters than nickels, how many of each coin does she have?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = nickels
y = dimes
z = quarters
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5x + 10y + 25z = 815
y = x + 8
z = x + 7
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put the system of linear equations into standard form
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5x + 10y + 25z = 815
x - y = -8
x - z = -7
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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 = nickels = 14
y = dimes = 22
z = quarters = 21
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Solve systems of linear equations up to 6-equations 6-variables:
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