SOLUTION: Adina has a total of $1.65 in nickels and dimes. The number of dimes is six more than the number of nickels. How many coins are there of each type?

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Question 1000447: Adina has a total of $1.65 in nickels and dimes. The number of dimes is six more than the number of nickels. How many coins are there of each type?
Answer by stanbon(75887) About Me  (Show Source):
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Adina has a total of $1.65 in nickels and dimes. The number of dimes is six more than the number of nickels. How many coins are there of each type?
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Value Equation:: 5n + 10d = 165 cents
Quantity Eq:: d = n + 6
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Modify and rearrange::
n + 2d = 33
n - d = -6
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Subtract and solve for "d":
3d = 39
d = 13 (# of dimes)
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n = 33-2d = 33-26 = 7 (# of nickels)
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Cheers,
Stan H.