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

User Starscream
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1 Answer

16 votes
16 votes

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 \\ (4x)/(4)=(74)/(4) \\ x=(37)/(2)=18.5 \end{gathered}

Each shirt costs $18.5

User Erik Hermansen
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