Final answer:
To calculate the original price of the discounted sunglasses, an equation representing the relationship between the original price and the final price after a 20% discount is formed and solved.
Step-by-step explanation:
To find the original price of the Ray-Ban sunglasses before the discount, we let the original price be represented by x. Given that Mrs. T used a 20% discount and paid $119.20, the equation expressing the relationship between the original price and the discounted price is x - 0.20x = $119.20, where 0.20x represents the amount discounted from the original price. According to the question, the discounted price she paid was $119.20. So we can set up the equation 0.8x = 119.20 and solve for x: x = 119.20 / 0.8 = $149.
Combining like terms, we have 0.80x = $119.20. To find the value of x, we divide both sides of the equation by 0.80:
x = $119.20 / 0.80
This yields the original price of the sunglasses.