Final answer:
To find the original marked price of Morgan's shoes, we determine what 100% of the price would be using the information that $1000 is 75% of the marked price after a 25% discount. The calculation reveals that the original marked price would be $1333.33.
Step-by-step explanation:
The question is asking us to find the original marked price of a pair of shoes that Morgan bought, given that she paid $1000 after a 25% sale discount. To calculate this, we need to work out what 100% of the price would be when $1000 represents 75% of the original price (100% - 25% discount).
Calculation to Find Marked Price:
- Let the marked price be represented by 'x'.
- Since Morgan paid $1000 after a 25% sale, it means she paid 75% of the marked price.
- To find the value of 'x', we set up the equation: 0.75 * x = $1000.
- Now we solve for 'x': x = $1000 / 0.75.
- Therefore, marked price 'x' = $1333.33 (rounded to two decimal places).
Morgan's shoes had an original marked price of $1333.33 before the 25% discount.