SOLUTION: Jeb has 25 coins.They are all quarters and nickels. He has a total of $2.85. How many quarters and nickels does he have? construct an algebraic equation, solve the variable, and an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jeb has 25 coins.They are all quarters and nickels. He has a total of $2.85. How many quarters and nickels does he have? construct an algebraic equation, solve the variable, and an      Log On


   

Question 201797: Jeb has 25 coins.They are all quarters and nickels. He has a total of $2.85. How many quarters and nickels does he have? construct an algebraic equation, solve the variable, and answer the question. You must solve the problem using algebra
Answer by Alan3354(69443) About Me  (Show Source):
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Jeb has 25 coins.They are all quarters and nickels. He has a total of $2.85. How many quarters and nickels does he have?
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n + q = 25 --> q = 25-n
5n + 25q = 285
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Sub for q in 2nd eqn
5n + 25(25-n) = 285
n + 5(25-n) = 57
n + 125 - 5n = 57
-4n = -68
n = 17 nickels
q = 8 quarters