SOLUTION: sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted

Question 548688: sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sam has 24 coins in her bank. she has nickles and quarters that total $2.40. How many of each coin does she have? only an algebraic solution with 2 variables will be accepted
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Equations:
Quantity: n + q = 24 coins
Value::: 5n +25q=240 cents
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Divide thru the Value Equation by 5:
n + q = 24
n + 5q = 48
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Subtract and solve for "q":
4q = 24
q = 6 (# of quarters)
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Solve for "n":
n + q = 24
n + 6 = 24
n = 18 (# of nickels)
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Cheers,
Stan H.
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