Answer :
Answer:
The number of tie-dyed shirts is 175
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of tie-dyed T-shirts sold.
y is the number of silk-screened shirts.
He sold 210 shirts altogether.
This means that [tex]x + y = 210[/tex]
Last week at a festival, a man sold 5 times as many tie-dyed T-shirts as silk-screened shirts.
This means that [tex]x = 5y[/tex] or [tex]y = \frac{x}{5}[/tex]
How many tie-dyed shirts did he sell?
This is x.
[tex]x + y = 210[/tex]
[tex]x + \frac{x}{5} = 210[/tex]
[tex]\frac{5x + x}{5} = 210[/tex]
[tex]6x = 210*5[/tex]
[tex]x = \frac{210*5}{6}[/tex]
[tex]x = 175[/tex]
The number of tie-dyed shirts is 175