SOLUTION: A man has 33 coins in his pocket, all of which are dimes, quarters and nickels. The total value of his change is $5.30. If the number of quarters is twice the number of nickels, ho

Question 927013: A man has 33 coins in his pocket, all of which are dimes, quarters and nickels. The total value of his change is $5.30. If the number of quarters is twice the number of nickels, how many of each does he 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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x + y + z = 33
5x + 10y + 25z = 530
z = 2x
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put the system of linear equations into standard form
---
x + y + z = 33
5x + 10y + 25z = 530
2x - z = 0
---
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 = 8
y = dimes = 9
z = quarters = 16
---
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