SOLUTION: a woman has $1.70 in dimes and nickels. she has 2 more dimes than nickels. how many nickels does she have

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Question 537329: a woman has $1.70 in dimes and nickels. she has 2 more dimes than nickels. how many nickels does she have

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a woman has $1.70 in dimes and nickels. she has 2 more dimes than nickels. how many nickels does she have
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Equations:
Quantity: d = n + 2
Value: 5n + 10d = 170 cents
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Substitute for "d" and solve for "n":
5n + 10(n+2) = 170
n + 2(n+2) = 34
3n+4 = 34
n = 10 (number of nickels)
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Solve for "d":
d = n+2
d = 12 (number of dimes)
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Cheers,
Stan H.
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