SOLUTION: Robin has a collection of nickels, dimes, and quarters worth $25.50. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she ha

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Question 1045964: Robin has a collection of nickels, dimes, and quarters worth $25.50. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Account for how many coins.
Account for the money.
Transcribe the other described statements.
Solve the system of equations --- you need only three equations for the three unknown n, d, q. Be sure the information all matches.


system%28n%2Bd%2Bq=weDoNotKnow%2C0.05n%2B0.1d%2B0.25q=25.5%2Cd=n%2B10%2Cq%2Fd=2%29

A coin count is not given; most coin combination problems do give a coin count.


The system is equivalent to this one:
system%28n%2B2d%2B5q=510%2Cd=n%2B10%2Cq=2d%29
You know what to do now; right?