The price of an airline ticket to New york increased 12%. The ticket price is now 456. what is the old selling price? round to the nearest cent.

To find the original selling price of the airline ticket before the 12% increase, we can use the following steps:

1. Let $ P $ be the original price of the ticket.
2. The price increased by 12%, so the new price is $ P $ plus 12% of $ P $.
3. This can be written as: $ P + 0.12P = 1.12P $.
4. We know that the new price is 456 dollars.

So, we have the equation:

\[ 1.12P = 456 \]

To find $ P $:

\[ P = \frac{456}{1.12} \]

Now, we calculate:

\[ P = \frac{456}{1.12} = 407.14 \]

So, the original selling price of the airline ticket was \$407.14.

Would you like more details or have any questions about this calculation? Here are some additional questions you might be interested in:

1. How do you calculate percentage increase or decrease?
2. What are some common real-life examples of percentage calculations?
3. How do you solve for the original price given the final price and the percentage increase?
4. Can you explain the difference between simple interest and compound interest?
5. How can percentage changes be applied in different financial scenarios?

**Tip:** When working with percentages, always convert the percentage to a decimal by dividing by 100 before performing calculations.

Learn how to calculate the original selling price of an item given its 12% increase. This problem involves percentage calculations and simple equations, suitable for Grades 7-9 students.

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