Question

Last week at a festival, a man sold 4 times as many tie-dyed t-shirts as silk screened shirts. He sold 180 shirts all together. How many tie-dyed shirts did he sale? The number of tie dyed shirts is?

Answer 1

We need to find the number of tie-dyed t-shirts, for that we will assign a variable for each kind of shirt. The tie-dyed will be called "x" and the silk-screened will be called "y".

We know that he sold 180 shirts in total, so the sum of x and y should be 180.

$x+y=180$

We also know that he sold 4 times as many tie-dyed t-shirts as silk-screened ones, so:

$x=4\cdot y$

To solve the problem we need to replace the second equation on the first one:

$\begin{gathered} (4\cdot y)+y=180 \\ 5\cdot y=180 \\ y=\frac{180}{5}=36 \end{gathered}$

Then we can use the second equation to find the value of x.

$x=4\cdot36=144$

He sold 144 tie-dyed shirts and 36 silk-screened ones.