Let us consider that the man sold x screened shirts.
Accordingly, he sold 3 times as many tie-dyed t shirts as silk screened shirts and he sold 156 shirts together.
Therefore,
![\begin{gathered} 3x+x=156 \\ 4x=156 \\ x=39 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8rmu113tdn23ng51izply34t05gdhlmgbh.png)
Therefore, the number of silk screened shirts sold is 39.
So, the number of tie dyed shirts is
![39*3=117](https://img.qammunity.org/2023/formulas/mathematics/college/kg17c446mdjo2ckcbhvlm87jiwrznctf9m.png)
Hence, The number of tie-dyed shirts is 117.