A man sold tied dyed shirts, t, and silk screened shirts, s. He sold 230 shirts.
The number of tied dyed shirts, t, plus the number of silk screened shirts, s, must be 230.
This gives us the equation t + s = 230.
A man sold four times as many tied dyed t-shirts as silk screen shirts. Let's make an equation of this statement.
The number of tied dyed shirts, t, is 4 times as many silk screen shirts, s. This gives us the equation
t = 4s
Since we know that t = 4s, we can substitute 4s in for t in the first equation t + s = 230. We get
t + s = 230 (substitute 4s for t)
4s + s = 230 (simplify)
5s = 230 (divide by 5)
s = 46
This is the number of silk shirts. Substitute 46 in for s in the equation t = 4s to find the number of tied dyed shirts.
t = 4(46)
t = 184
The man sold 184 tied dyed shirts!