A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin’s work and find his error.

Question

($30.65)(0.60) = $18.39

Answer 1

Kelvin's calculation contains a mistake in the way he calculated the discount. To find the new price after a 60% markdown, he should have calculated the 60% discount first and then subtracted that amount from the original price.

1. Calculate the amount of the discount: \[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} = 30.65 \times 0.60 = 18.39 \]

2. Now subtract the discount from the original price to find the new price: \[ \text{New Price} = \text{Original Price} - \text{Discount} = 30.65 - 18.39 = 12.26 \]

Kelvin calculated the discounted amount correctly, but he mistakenly stated that the discounted price was the same as the amount of the discount. The correct new price of the game after the 60% discount should be $12.26, not $18.39.