Question 190924: a piggy bank contains $5.85 in nickels and quarters. if there are 65 coins in all, how many of each type coin is there?
please help me Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a piggy bank contains $5.85 in nickels and quarters. if there are 65 coins in all, how many of each type coin is there?
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Quantity Equation: n + q = 65
Value Equation::: 5n + 25q = 585 cents
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Multiply thru the 1st Eq. by 5 to set up the system for elimination:
5n + 5q = 5*65
5n + 25q = 585
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Subract the 1st from the 2nd to solve for "q":
20q = 260
q = 13 (# of quarters)
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Substitute in n + q = 65 to solve for "n"
n + 13 = 65
n = 52 (# of nickels)
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Cheers,
Stan H.
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