Hi,  

a vending machine contains dimes and quarters. 

There are 339 coins all together totalling $54.15.

Question states***CENTS make sense

 25x + 10(339-x)= 5415¢

      15x = 2025¢

        x = 135 Quarters and 204 Dimes

and

CHECKING our Answer***

 = 3375¢ + 2040¢ = 5415¢ or $54.15 

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