Question 821375: A stack of quarters and dimes is worth $3.65, and contains a total of 23 coins. How many of each are there?
q+d=23
.25q + .1d= 3.65 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A stack of quarters and dimes is worth $3.65, and contains a total of 23 coins. How many of each are there?
Quantity:: q+d= 23 coins
Value 0.25q + 0.1d= 3.65 dollars
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Modify for elimination:
25q + 25d = 25*23
25q + 10d = 365 cents
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Subtract and solve for "d":
15d = 210
d = 14 (# of dimes)
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Solve for "q":
q + d = 23
q + 14 = 23
q = 9 (# of quarters)
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Cheers,
Stan H.
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