Certainly! Let's go through the problem step-by-step to determine the algebraic expression that represents the original price of the gaming PC.
1. Identify the variables:
- Let [tex]\( p \)[/tex] be the original price of the gaming PC.
- John received a discount of [tex]\( y \)[/tex] dollars.
2. Understand the given information:
- After applying the discount [tex]\( y \)[/tex], John paid [tex]$985.
3. Set up the equation:
- The original price \( p \) minus the discount \( y \) equals the amount John paid, which is $[/tex]985.
Therefore, we can set up the following equation:
[tex]\[
p - y = 985
\][/tex]
4. Rearrange the equation to solve for [tex]\( p \)[/tex]:
- To find the original price [tex]\( p \)[/tex], we need to move [tex]\( y \)[/tex] to the other side of the equation. This can be done by adding [tex]\( y \)[/tex] to both sides of the equation.
[tex]\[
p = 985 + y
\][/tex]
5. Write the final expression:
- The algebraic expression that represents the original price of the gaming PC is:
[tex]\[
p = 985 + y
\][/tex]
This expression indicates that you can find the original price of the gaming PC [tex]\( p \)[/tex] by adding the discount [tex]\( y \)[/tex] back to the amount John paid after the discount, which is $985.
