Question 424032: Jeffery has a piggy bank with $28.00 in dimes and quarters. If there are 205 coins in total, how many of each coin does he have? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Jeffery has a piggy bank with $28.00 in dimes and quarters. If there are 205 coins in total, how many of each coin does he have?
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Equations:
Quantity Eq.::: d + q = 205 coins
Value Eq.:::: 10d + 25q = 2800 cents
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Multiply thru the Quantity Eq. by 10 to get:
10d + 10q = 2050
10d + 25q = 2800
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Subtract and solve for "q":
15q = 750
q = 50 (# of quarters)
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Solve for "d":
d + q = 205
d + 50 = 205
d = 155 (# of dimes)
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Cheers,
Stan H.
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