Hi

60 coins

Let x and (60-x)represent the dimes and nickels respectively

Question states***CENTS makes sense

   10x + 5(60-x) = 445

Solving for x

         5x = 145

          x = 29, number of dimes.  31 Nickels  (60-29)



CHECKING our Answer***

   10*29 + 5*31 = 290 + 155 = 445 or $4.45 

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