SOLUTION: Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Which of the following equations could be used to s

Algebra ->  Equations -> SOLUTION: Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Which of the following equations could be used to s      Log On


   

Question 822648: Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
Which of the following equations could be used to solve the problem?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
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Quantity Equation: q = 3n
Value Equation: 5n + 25q = 160 cents
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Substitute for "q" and solve for "n":
5n + 25*3n = 160
5n + 75n = 160
80n = 160
n = 2 (# of nickels)
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Solve for "q":
q = 3n
q = 6 (# of quarters)
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Cheers,
Stan H.
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