SOLUTION: bobs bank contains only nickels, dimes and quarters. there are 51 coins in all valued at 4.15. the number of nickels is 5 short of being three times the sum of the number of dimes

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Question 889185: bobs bank contains only nickels, dimes and quarters. there are 51 coins in all valued at 4.15. the number of nickels is 5 short of being three times the sum of the number of dimes and quarters. how many dimes are in the bank
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n+d+q=51;
n=-5+3(d+q);
0.05n+0.10d+0.25q=4.15.

Simplify two of the equations.
n=-5+3d+3q
n-3d-3q=-5.
-
n+2d+5q=83.

Solve the system:
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n+d+q=51
-
n-3d-3q=-5
-
n+2d+5q=83
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One method to start can be add three times the "51" equation to the second equation and quickly get a value for n.