Joyce paid $42.50 for an item at the store that was 75% off the orginal pric. what was the original price?

To find the original price of the item, we need to understand that Joyce paid 25% of the original price, since the item was 75% off. Let's define the original price as $ x $.

Given:
- Joyce paid $ 42.50 $ dollars for the item.
- The item was 75% off, which means she paid only 25% of the original price.

So, 25% of the original price $ x $ is equal to 42.50:

\[
0.25x = 42.50
\]

To find $ x $, divide both sides of the equation by 0.25:

\[
x = \frac{42.50}{0.25}
\]

Now let's calculate it:

\[
x = 170
\]

### Answer
The original price of the item was **$170.00**.

Would you like more details or have any questions?

Here are some related questions to explore further:
1. If the discount was 60% instead of 75%, what would Joyce have paid?
2. How much would the item cost if the discount was only 10%?
3. What is the percentage discount if Joyce paid $50 for the same item?
4. If another item originally priced at $200 was 75% off, how much would it cost?
5. How much would Joyce save if the original price was $200 and the discount was 75%?

**Tip:** When dealing with percentages, remember that "off" typically means subtracting from 100%. If something is 75% off, that means you are paying 25% of the original amount.

Joyce paid $42.50 for an item at the store that was 75% off the original price. What was the original price?

Learn how to find the original price of an item when it is 75% off and sold for $42.50. This step-by-step guide covers percentage calculations and basic algebra, making it suitable for students in Grades 6-8.

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