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.
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Equations:
Normal Value:: 5n + 10d = 140 cents
Adjusted Value: 10n + 5d = 130 cents
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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.