Joyce paid $84.00 for an item at the store that was 40%off the original price. What was the original price? Round your answer to the nearest cent.


To find the original price of the item Joyce bought, we need to reverse the discount.

We know:
- Joyce paid $84, which is 60% (100% - 40%) of the original price (after the 40% discount).

Let $ x $ represent the original price. Then:

\[
60\% \text{ of the original price} = 84
\]
\[
0.60 \times x = 84
\]

To solve for $ x $, divide both sides by 0.60:

\[
x = \frac{84}{0.60} = 140
\]

So, the original price was **$140.00**.

Would you like further details or have any other questions?

Here are 5 related questions you can explore:
1. What would Joyce have paid if the item was 25% off instead?
2. How much did Joyce save with the 40% discount?
3. If Joyce bought two such items, what would be the total cost after the discount?
4. What would the price be after a 50% discount on the original price?
5. What is the percentage saved if Joyce paid $84 instead of $150?

**Tip:** Understanding percentages involves recognizing that they are a way to express parts of a whole—commonly used in discounts and taxes!

Joyce paid $84.00 for an item at the store that was 40% off the original price. What was the original price? Round your answer to the nearest cent.

Learn how to find the original price of an item after a 40% discount. Joyce paid $84.00, and we solve for the original price using percentage and algebra. This step-by-step guide is perfect for students in Grades 6-8 learning about discount calculations and percentage applications.

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