The regular price of a pair of jeans at a store is $92.80.  The sale price of the jeans is 75% less than the regular price and the sale price is 25% greater than the store's cost for the jeans.  What was the store's cost, in dollars, for the pair of jeans?

Let's solve the problem step by step.

1. **Determine the Sale Price:**
   The sale price of the jeans is 75% less than the regular price. This means the sale price is 25% of the regular price.

   \[
   \text{Sale Price} = 0.25 \times 92.80 = 23.20
   \]

   So, the sale price of the jeans is $23.20.

2. **Relate the Sale Price to the Store's Cost:**
   The problem states that the sale price is 25% greater than the store's cost. Let the store's cost be $ C $. Then, we have:

   \[
   \text{Sale Price} = C + 0.25C = 1.25C
   \]

   Since we know the sale price is $23.20, we can set up the equation:

   \[
   1.25C = 23.20
   \]

3. **Solve for the Store's Cost:**

   To find $ C $, divide both sides by 1.25:

   \[
   C = \frac{23.20}{1.25} = 18.56
   \]

Thus, the store's cost for the pair of jeans was **$18.56**.

Would you like to go over any details or have any questions?

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Here are 8 related questions that might interest you:
1. What would be the sale price if the discount was 50% instead of 75%?
2. How much profit does the store make if the jeans are sold at the regular price?
3. What is the percentage markup from the store's cost to the regular price?
4. If the store decides to give an additional 10% off on the sale price, what would the final price be?
5. How would the store's cost change if the sale price was 30% greater than the store's cost?
6. What is the dollar amount of the discount given during the sale?
7. How would the problem change if the store's cost was given as a percentage of the regular price?
8. What would the sale price be if the store offered a 90% discount instead?

**Tip:** When calculating percentage increases or decreases, always convert the percentage to a decimal by dividing by 100.

Learn how to calculate the store's cost for a pair of jeans given the sale price and regular price. This problem involves percentage calculations and equations, providing a step-by-step solution. Suitable for Grades 7-9 students learning about percentages and algebraic equations.

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