SOLUTION: Mia has 7 coins that total $1.10.What are the coins?

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Question 847578: Mia has 7 coins that total $1.10.What are the coins?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
p pennies
n nickels
d dimes
q quarters

0.01p%2B0.05n%2B0.10d%2B0.25q=1.10 and p%2Bn%2Bd%2Bq=7.
The money count equation can also be stated as p%2B5n%2B10d%2B25q=11.
That is FOUR unknown variables and only TWO equations. Are you given any more information in the description? Are you expecting a counting principles or discrete type of analysis?

How about 3 quarters and 1 nickel and 3 dimes? I found this by first setting number of quarters to 4, and found I could not quickly find a good intuitive combination of dimes and nickels; so I chose to try 3 quarters, and went a little up and down with nickels and dimes, and found that given combination: 3 quarters, 1 nickel, 3 dimes.