Question

There is a sale for $8 off when 4 shirts arepurchased. If you spend a total of $42, what is thecost of one shirt?

Answer 1

Sale $8 off

4 units were purchased at a total cost of $42

The sale off means that $8 dollars were discounted to the price of every shirt, if x represents the original price of the shirts, then x-8 is their price with the discount for each shirt.

For the 4 shirts the total cost can be symbolized as:

4(x-8)=42

Now that is expresed in an equation with one unknown, you can clear the value of x:

Step one, distribute the multiplication:

$\begin{gathered} 4(x-8)=42 \\ 4x-32=42 \end{gathered}$

Next is to let the terms with x in one side of the equation and the integers in the other side:

$\begin{gathered} 4x-32=42 \\ 4x=42+32 \\ 4x=74 \end{gathered}$

Now divide both sides of the equation by 4 to get the value of x

$\begin{gathered} 4x=74 \\ \frac{4x}{4}=\frac{74}{4} \\ x=\frac{37}{2}=18.5 \end{gathered}$

Each shirt costs $18.5