Question 946870: You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and quarters, q
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You have a total of 25 coins, all nickels ($0.05) and quarters ($0.25). The total value is $3.85. Write and solve a system of equations to find the number of nickels, n, and quarters, q
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Equations:
n + q = 25 coins
5n+25q = 385 cents
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Modify for elimination::
n + q = 25
n + 5q = 77
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Subtract and solve for "q"::
4q = 52
q = 13 (# of quarters)
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n = 25-q
n = 12 (# of nickels)
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Cheers,
Stan H.
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