Hi,

49 coins...

five more dimes than all the nickels and quarters combined

 q + n + d = 49      || 

 q + n + ((q+n)+5) = 49

       2q + 2n = 44

        q + n = 22   0r   And... the number of dimes = 27  

Question states*** value of $5.20

CENTS makes sense

 25q + 10d + 5n = 520

 25q + 10·27 + 5(22-q) = 520

 25q + 10·27 + 5·22- 5q = 520

                20q = 140

                  q = 7, the number of quaters.  Number of Nickels = 15

and...

 

  

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