The bookstore gives students a 10% off discount, making the new history book cost $22.50.  What was the original cost

To find the original cost of the history book before the 10% discount, you can set up the following equation:

Let $ x $ be the original price of the book.

The bookstore gives a 10% discount, meaning the price after the discount is 90% of the original price. This can be expressed as:
\[
0.90 \times x = 22.50
\]

Now, solve for $ x $:

\[
x = \frac{22.50}{0.90} = 25.00
\]

So, the original cost of the history book was **$25.00**.

Would you like more details on how this was calculated?

Here are 5 related questions:
1. What would the price be with a 15% discount instead?
2. How much money did the student save with the 10% discount?
3. If another book costs $30 after a 20% discount, what was its original price?
4. What percentage discount would result in a final price of $18 for a $20 book?
5. How can you calculate the original price if given the discounted price and percentage?

**Tip:** When calculating percentages, converting to decimal form (e.g., 10% = 0.10) helps simplify the math.

The bookstore gives students a 10% off discount, making the new history book cost $22.50. What was the original cost?

Learn how to calculate the original price of a book after a 10% discount, where the final cost is $22.50. This step-by-step solution covers algebraic concepts and percentage calculations. Suitable for students in Grades 6-8.

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