Sure, let's analyze Kelvin's work step-by-step to identify and correct his error.
### Initial Information
- Original price of the video game: \[tex]$30.65
- Markdown percentage: 60%
### Kelvin's Calculation
Kelvin calculated:
\[
(\$[/tex] 30.65) \times 0.60 = \[tex]$ 18.39
\]
Here, Kelvin found that 60% of the original price is \$[/tex]18.39, which is correct. However, he misunderstood this value. Let's clarify what this value represents and then find the correct new price.
### Correct Approach
1. Calculate the markdown amount:
- Markdown amount = [tex]\( \text{Original Price} \times \text{Markdown Percentage} \)[/tex]
[tex]\[
\text{Markdown amount} = 30.65 \times 0.60 = \$ 18.39
\][/tex]
2. Determine the new price after the markdown:
- New price = Original Price - Markdown Amount
[tex]\[
\text{New price} = 30.65 - 18.39 = \$ 12.26
\][/tex]
### Conclusion
- Markdown amount: [tex]\( \$ 18.39 \)[/tex]
- New price after markdown: [tex]\( \$ 12.26 \)[/tex]
Kelvin's error was in interpreting the value of \[tex]$18.39 as the new price, whereas it actually represents the markdown amount. The correct new price of the game after a 60% markdown is \$[/tex]12.26.
