SOLUTION: Tanner has $5.90 in nickels and quarters. Suppose he has 16 more nickels than quarters. (Let x represent the number of quarters. Complete the table below such that each entry is in

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Question 968860: Tanner has $5.90 in nickels and quarters. Suppose he has 16 more nickels than quarters. (Let x represent the number of quarters. Complete the table below such that each entry is in terms of x.)
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Let the number of quarters be x
Then the number of nickels, is x+16
                      Value      Value
Type       Number       of         of
 of          of        EACH       ALL
coin        coins      coin      coins
-------------------------------------------
nickel      x+16       $0.05   $0.05(x+16)
quarter      x         $0.25   $0.25x
-------------------------------------------
                     TOTALS    $5.90

 The equation comes from the column on the right

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

0.05(x+16) + 0.25x = 5.90

Get rid of decimals by multiplying every term by 100

     5(x+16) + 25x = 590

     5x + 80 + 25x = 590

               30x = 510

                 x = 17 = the number of quarters

The number of quarter is x+16 or 17+16 or 33 nickels

Checking:  17 quarters = 17*$0.25 = $4.25
           33 nickels  = 33*$0.05 =  1.65
           ------------------------------
                            TOTAL =  5.90

Edwin

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Tanner has $5.90 in nickels and quarters. Suppose he has 16 more nickels than quarters. (Let x represent the number of quarters. Complete the table below such that each entry is in terms of x.)
------------
Ok, x = # of quarters.
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How far below?
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