Question

to tie-dye onet-shirt, 3/8 cup of dye is needed. The table shows the number of cups of each color of dye in Mr.Galvez's art class. How many t-shirts can be made using only orange dye?

Answer 1

"six times a number is greater than 20 more than that number"

Let "x" represent the number you have to find.

"six times the number", means that x is multiplied by 6 → 6x

"20 more than the number" means that you add 20 to x→ x+20

The inequality can be written as follows:

$6x>x+20$

Now you have to solve for x, the first step is to pass the x-term to the left side of the inequality by applying the opposite operation to both sides of the expression:

$\begin{gathered} 6x-x>x-x+20 \\ 5x>20 \end{gathered}$

The next step is to divide both sides of the inequality by 5 to determine the possible values of x:

$\begin{gathered} \frac{5x}{5}>\frac{20}{5} \\ x>4 \end{gathered}$

The possible values of x are the values greater than 4 (second option)