SOLUTION: Emily has nickels, dimes, and quarters in her piggy bank. She has twice as many dimes as nickels and 12 fewer quarters than dimes. The total value of the coins is $9.00. How man

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Question 330373: Emily has nickels, dimes, and quarters in her piggy bank. She has twice as many dimes as nickels and 12 fewer quarters than dimes. The total value of the coins is $9.00. How many of each coin type does Emily have?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the number of dimes, N nickels, Q quarters.
D=2N
N=D%2F2
.
.
.
Q=D-12
.
.
.
5N%2B10D%2B25Q=900
Substitute from above,
%285D%29%2F2%2B10D%2B25%28D-12%29=900
Multiply both sides by 2.
5D%2B20D%2B50D-600=1800
75D=2400
D=32
Q=32-12=20
N=32%2F2=16
She has 16 nickels, 32 dimes, and 20 quarters.