SOLUTION: A coin jar contains nickels, dimes, and quarters.
There are 47 coins in all.
There are 12 more nickels than quarters.
The value of the dimes is $3.70 less than the value o
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Question 1107799:  A coin jar contains nickels, dimes, and quarters.
There are 47 coins in all.
There are 12 more nickels than quarters.
The value of the dimes is $3.70 less than the value of the quarters.
How many coins of each type are in the jar? 
Found 2 solutions by  josgarithmetic, addingup:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
 n, d, q
nickels dimes quarters
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Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
 
n + d + q = 47
25q - 10d = 370
n = q + 12
25q - 370 = 10d
5q - 74 = 2d
d = 5q/2 - 37
n + d + q = 47
(q + 12) + ((5q/2) - 37) + q = 17
2q + (5q/2) + 12 - 37 = 47
2q + (5q/2) = 47 - 12 + 37
2q + 5q/2 = 72
4q + 5q = 144
9q = 144
q = 16
n = 28
d = 3
 
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