SOLUTION: A piggy bank contained $14.55 in quarters, dimes and nickels. If there were three more than twice as many dimes as nickels and three less than three times as many quarters as nicke

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Question 862727: A piggy bank contained $14.55 in quarters, dimes and nickels. If there were three more than twice as many dimes as nickels and three less than three times as many quarters as nickels, how many of each kind of coin was in the piggy bank?
Answer by lwsshak3(11628) About Me  (Show Source):
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A piggy bank contained $14.55 in quarters, dimes and nickels. If there were three more than twice as many dimes as nickels and three less than three times as many quarters as nickels, how many of each kind of coin was in the piggy bank?
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let x=number of nickels in the piggy bank
(2x+3)=number of dimes in the piggy bank
(3x-3)=number of quarters in the piggy bank
..
.05x+.10(2x+3)+.25(3x-3)=14.55
.05x+.20x+.30+.75x-.75=14.55
1.00x=14.55+.45
x=15
2x+3=33
3x-3=42
..
number of nickels in the piggy bank=15
number of dimes in the piggy bank=33
number of quarters in the piggy bank=42
..