Hi

cashier has 53 bills in all

Let x and (53-x)represent the number of twenty and five dollar bills respectively

Question states***

  20x + 5(53-x) = $820

Solving for x

       15x = 555

        x = 37 twenty dollar bills and 16 five dollar bills 

CHECKING our Answer***

    $740 + $80 = $820 

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