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After a discount of [tex]\( y \)[/tex] dollars, John ended up paying \$985 for his new gaming PC.

Write an algebraic expression that represents the original price of the gaming PC.

Make sure you use the correct variable.


Sagot :

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.
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