SOLUTION: a collection of nickels and dimes is worth $1.40. if the dimes were nickels and the nickels were dimes the value would be $1.30. how many dimes are there. how much are nickels wort

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Question 929858: a collection of nickels and dimes is worth $1.40. if the dimes were nickels and the nickels were dimes the value would be $1.30. how many dimes are there. how much are nickels worth. how do you set this problem up and how do you work it. please in dire need of help.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a collection of nickels and dimes is worth $1.40. if the dimes were nickels and the nickels were dimes the value would be $1.30. how many dimes are there. how much are nickels worth.
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Equations:
Normal Value:: 5n + 10d = 140 cents
Adjusted Value: 10n + 5d = 130 cents
ce------------------------------------
Modify::
n + 2d = 28
2n + d = 26
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Modify::
2n + 4d = 56
2n + d = 26
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Subtract and solve for "d":
3d = 30
d = 10 (# of dimes)
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Solve for "n":
n + 2d = 28
n + 20 = 28
n = 8 (# of nickels)
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Cheers,
Stan H.