Last week at a festival, a man sold 3 times as many tie-dyed T-shirts as silk-screened shirts. He sold 164 shirts altogether. How many tie-dyed shirts did he sell?

He sold 123 tie-dyed T-shirts.

Step-by-step explanation:

A man sold 3 times as many tie-dyed T-shirts as silk-screened shirts.

Let, the number of silk-screened shirts = x The number of tie-dyed T-shirts = 3x The total number of shirts he sold = 164 shirts

The equation is framed as:

⇒ x+3x = 164

⇒ 4x = 164

⇒ x = 164/4

⇒ x = 41

Therefore, the number of silk-screened shirts is 41.

Then, the number of tie-dyed T-shirts is 3x = 3*41 ⇒ 123.