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The question asks for the original price of a train ticket, given that the price after an 18.5% discount is $228.20.

Let the original price be denoted as $ P $.

Since an 18.5% discount was applied, the customer paid 81.5% of the original price. Therefore, we can set up the equation:

\[
0.815P = 228.20
\]

Now, solve for $ P $:

\[
P = \frac{228.20}{0.815}
\]

Let me calculate that.The original price of the train ticket before the 18.5% discount was $280.00.

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How do you calculate the percentage increase if the price had increased instead of decreased?
2. What would the discounted price be if the discount was 25% instead of 18.5%?
3. How would you calculate the tax on the original price if it were taxed at 7%?
4. What is the relationship between percentages, decimals, and fractions in calculations like this?
5. How do you calculate the final price if multiple discounts are applied sequentially?

**Tip:** When solving percentage problems, convert the percentage to a decimal by dividing by 100 to make calculations easier!

The price of a train ticket after a 18.5% discount is $228.20. Find the original list price (in dollars) of the ticket.

Solve a real-world percentage problem: Find the original list price of a train ticket after an 18.5% discount. Learn step-by-step calculations involving percentage formulas and algebraic methods. Suitable for Grades 6-8.

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