SOLUTION: A collection of nickels, dimes, and quarters consist of 100 coins with a total of $10.25 . If there are 3 times as many dimes as quarters, find the number of each type of coins.

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Question 1006048: A collection of nickels, dimes, and quarters consist of 100 coins with a total of $10.25 . If there are 3 times as many dimes as quarters, find the number of each type of coins.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The immediate system formed from description, system%28n%2Bd%2Bq=100%2C0.05n%2B0.1d%2B0.25q=10.25%2Cd%2Fq=3%29


Some simplification
system%28n%2Bd%2Bq=100%2Cn%2B2d%2B5q=205%2Cd=3q%29

The rest is straightforward. (Try substitute for d in the first two equations, then partly use elimination to first get value for q.)

Finished solution is:
system%28quarters=15%2Cdimes=45%2Cnickels=40%29