SOLUTION: Debbie has a bank with nicels, dimes, and quarters. She has 30 more dimes than nickels and 4 more quarters than twice the number of nickels. Debbie uses 5 quarters and one nickel t

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Question 1088590: Debbie has a bank with nicels, dimes, and quarters. She has 30 more dimes than nickels and 4 more quarters than twice the number of nickels. Debbie uses 5 quarters and one nickel to make a purchase and has $17.00 left. How many of each type of coin did she start with?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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...bank with nicels, dimes, and quarters. She has 30 more dimes than nickels and 4 more quarters than twice the number of nickels.
... uses 5 quarters and one nickel to make a purchase and has $17.00 left.
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Initial amount of money was $18.30.

5n%2B10d%2B25q=1830
n%2B2d%2B5q=366

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system%28d=n%2B30%2Cq=4%2B2n%2Cn%2B2d%2B5q=366%29

n%2B2%28n%2B30%29%2B5%282n%2B4%29=366
n%2B2n%2B60%2B10n%2B20=366
13n%2B80=366
13n=286
highlight_green%28n=22%29------nickels, originally.

You can evaluate d and q.