Final answer:
After applying a 30% markdown on the original price of $776 and an additional 10% loyalty club discount on the reduced price, club members pay $488.88 for the computer system.
Step-by-step explanation:
The question involves calculating the final price that club members would pay for a computer system after a series of discounts are applied and falls squarely within the subject of mathematics, likely at a high school level.
The computer store originally sells the computer system for $776. However, they offer a 30% markdown on the system. To calculate the selling price after the markdown, the discount amount is found by multiplying $776 by 30%, which equals $232.80. Subtracting this discount from the original price, the new price becomes $776 - $232.80 = $543.20.
Members of the store's loyalty club receive an additional 10% off. This additional discount is calculated as 10% of the markdown price, $543.20, which is $54.32. Subtracting this from the markdown price, the final price club members pay is $543.20 - $54.32 = $488.88.
Therefore, club members would pay $488.88 for the computer system with their discount.