SOLUTION: Julie's purse contains 34 coins consisting of nickels and Quaters worth a total of 5.90 how many nickles and how many Quaters does she have?

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Question 968133: Julie's purse contains 34 coins consisting of nickels and Quaters worth a total of 5.90 how many nickles and how many Quaters does she have?
Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of quarters be x
Then the number of nickels, using
ONE PART = TOTAL MINUS OTHER PART,
is 34-x.
                      Value      Value
Type       Number       of         of
 of          of        EACH       ALL
coin        coins      coin      coins
-------------------------------------------
quarters     x         $0.25     $0.25x
nickels   34-x         $0.05     $0.05(34-x)
-------------------------------------------
TOTALS      34        -----      $5.90

 The equation comes from the column on the right

  %28matrix%284%2C1%2CValue%2Cof%2CALL%2Cquarters%29%29%22%22%2B%22%22%28matrix%284%2C1%2CValue%2Cof%2CALL%2Cnickels%29%29%22%22=%22%22%28matrix%284%2C1%2CTotal%2Cvalue%2Cof%2Ccoins%29%29

0.25x + 0.05(34-x) = 5.90

Get rid of decimals by multiplying every term by 100

     25x + 5(34-x) = 590

    25x + 170 - 5x = 590

               20x = 420

                 x = 21

                 x = 21 = the number of quarters

The number of nickels is 34-x or 34-21 or 13 nickels

Checking:

21 quarters = 21($0.25) = $5.25
13 nickels  = 13($0.05) =   .65
-------------------------------
                  total = $5.90 

So 21 quarters and 13 nickels is the answer.

Edwin