Final answer:
Luke paid $50 for the video game after a 20% discount.
Step-by-step explanation:
To find the amount Luke paid for the video game after the discount, we need to calculate the discount amount and subtract it from the original price.
Step 1: Calculate the discount amount by multiplying the original price by the percentage of the discount: $62.50 * 20% = $12.50.
Step 2: Subtract the discount amount from the original price to find the final price Luke paid: $62.50 - $12.50 = $50.