SOLUTION: Phuong has $2 in nickels and dimes in his bank. The number of dimes is five more than twice as many nickels. How many of each type of coin are in bank?
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Question 820549: Phuong has $2 in nickels and dimes in his bank. The number of dimes is five more than twice as many nickels. How many of each type of coin are in bank?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Phuong has $2 in nickels and dimes in his bank. The number of dimes is five more than twice as many nickels. How many of each type of coin are in bank?
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Value Eq:: 5n+10d = 200 cents
Quantity:: d = 2n+5
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Substitute for "d" and solve for "n"::
5n + 10(2n+5) = 200
25n + 50 = 200
25n = 150
n = 6 (# of nickels)
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Solve for "d"::
d = 2n+5
d = 2*6+5
d = 17 (# of dimes)
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Cheers,
Stan H.
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