SOLUTION: Ang has $5 in nickels, dimes and quarters. She has twice as many dimes as nickels and 10 more quarters then nickels. How many of each coin does And have?

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Question 740490: Ang has $5 in nickels, dimes and quarters. She has twice as many dimes as nickels and 10 more quarters then nickels. How many of each coin does And have?
Found 2 solutions by stanbon, lynnlo:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ang has $5 in nickels, dimes and quarters. She has twice as many dimes as nickels and 10 more quarters then nickels. How many of each coin does And have?
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Value Eq::: 5n + 10d + 25q = 500
Quantity Ea: d = 2n
Quantity Eq: q = n + 10
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Substitute for "d" and for "q" and solve for "n":
5n + 10(2n) + 25(n+10) = 500
5n + 20n + 25n + 250 = 500
50n = 250
n = 5 (# of nickels)
d = 2n = 10 (# of dimes)
q = n+ 10 = 15 (# of quarters)
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Cheers,
Stan H.
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Answer by lynnlo(4176) About Me  (Show Source):