Final answer:
To find the original price of the TV that was purchased for $800 at a 60% discount, we can set up an equation and solve for the unknown original price. The equation would be 0.4x = $800, where x represents the original price. By dividing both sides of the equation by 0.4, we find that the original price was $2000.
Step-by-step explanation:
To find the original price of the TV, we can use the information given: the TV was purchased for $800, which was 60% off the original price. Let's represent the original price as 'x'.
Since the price was reduced by 60%, the discounted price is 100% - 60% = 40% of the original price. We can express this as: 0.4x = $800.
To determine 'x', we can divide both sides of the equation by 0.4: x = $800 ÷ 0.4 = $2000.