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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