Question 712774
mrs. boyd has a desk full of quarters and nickels. if she has a total of 27 coins with a face value of $5.15, how many of the coins are nickels
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Quantity Equation: n + q = 27 coins
Value Equation::: 5n+25q = 515 cents
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Set up for elimination:
5n + 5q = 5*27
5n +25q = 515
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Subtract and solve for "q":
20q = 280
q = 14 (# of quarters)
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Solve for "n" using n + q = 27
n + 14 = 27
n = 13 (# of nickels)
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Cheers,
Stan H.
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