SOLUTION: Zachary has nickels, dimes and quarters in his piggy bank. He has 58 coins with a total value of $6.50. There are twice as many dimes as nickels. How many of each coin does he have

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Question 903538: Zachary has nickels, dimes and quarters in his piggy bank. He has 58 coins with a total value of $6.50. There are twice as many dimes as nickels. How many of each coin does he have?
Answer by lwsshak3(11628) About Me  (Show Source):
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Zachary has nickels, dimes and quarters in his piggy bank. He has 58 coins with a total value of $6.50. There are twice as many dimes as nickels. How many of each coin does he have?
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let x=number of nickels
2x=number of dimes
58-(x+2x)=58-3x=number of quarters
.05x+.10*2x+.25(58-3x)=6.50
.05x+.20x+14.50-.75x=6.50
.50x=8.00
x=16
2x=32
58-3x=10
number of nickels=16
number of dimes=32
number of quarters=10