Question 211023: Sara has a collection of nickels, dimes, and quarters, worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sara has a collection of nickels, dimes, and quarters, worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have?
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Value Eq.::: 5n + 10d + 25q = 1575 cents
Quantity Eq: d = n + 10
Quantity Eq: q = 2d
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So n = d-10
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Substitute in the Value Eq.:
5(d-10) + 10d + 25*2d = 1575
5d - 50 + 10d + 50d = 1575
65d = 1625
d = 25 (# of dimes)
n = d-10 = 15 (# of dimes)
q = 2d = 50 (# of quarters)
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Cheers,
Stan H.
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