SOLUTION: A collection of nickels, dimes, and quarters equals $55.00. You have 80 more quarters than dimes and three times as many nickels as dimes. How many of each do you have? I am thi

Question 505631: A collection of nickels, dimes, and quarters equals $55.00. You have 80 more quarters than dimes and three times as many nickels as dimes. How many of each do you have?
I am thinking .10x+ .05(3x)+ x+80= $55.00???
Not sure of the equation or of how to solve it??
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A collection of nickels, dimes, and quarters equals $55.00. You have 80 more quarters than dimes and three times as many nickels as dimes. How many of each do you have?
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Value Equation: 5n + 10d + 25q = 5500
Quantity Eq: q = d + 80
Quantity Eq: n = 3d
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Substitute for "q" and for "n" and solve for "d"
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5(3d) + 10d + 25(d+80) = 5500
15d + 10d + 25d + 2000 = 5500
50d = 3500
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d = 70 (# of dimes)
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q = d+80 = 150 (# of quarters)
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n = 3d = 210 (# of nickels)
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Cheers,
stan H.
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