Question

Last week at a festival, a man sold 4 times as many tie-dyed T-shirts as silk-screened shirts. He sold 200 shirts altogether. How many tie-dyed shirts did he sell?The number of tie-dyed shirts is

Answer 1

Let x = tie-dyed T-shirts

Let y = silk-screened shirts

Now we can form equations using the information given:

4 times as many tie-dyed T-shirts as silk-screened shirts, x = 4y

He sold 200 shirts altogether, x + y = 200

Then, we substitute x = 4y in the equation x + y = 200:

`\begin{gathered} x+y=200 \\ 4y+y=200 \end{gathered}`

Solve for y:

`\begin{gathered} 5y=200 \\ (5y)/(5)=(200)/(5) \\ y=40 \end{gathered}`

Now, find x:

`x=4(40)=160`

Answer: The number of tie-dyed shirts is 160