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    3. a coin bank contains twenty six nickels and quarters. the coins have a total value of $3.50. find the number of nickels and the number of quarters in the bank.
    a coin bank contains twenty six nickels and quarters. the coins have a total value of $3.50. find the number of nickels and the number of quarters in the bank.

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    0  Views: 560 Answers: 2 Posted: 11 years ago
    Tags: word problems math algebra
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      2 Answers

      n = nickels


      q = quarters


      n + q = 26


      q = 26 - n


      5n + 25q = 350   >  substitute first equation into this equation 


      _________________________________________


      5n + 25(26 - n) = 350


      5n + 650 - 25n = 350


      -20n + 650 = 350


               -650     -650   


      ________________________


      -20n  =  -300  


      _____     ______


       -20        -20


      n = 15


      Now solve for q. Use either equation.


      q = 26 - n


      q = 26 - 15


      q = 11

      10 years ago. Rating: 2
      Comment this answer

        In order to figure out the number of each coin, one need to define on of them as y (for instance) and the other as 26-y.
        The initial equation is: 26 x [ 0.05y + 0.25 x (26 - y) ] = 3.5.

        11 years ago. Rating: 0
        Comment this answer



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