Question
In 2010, 56.4 million people visited a national park. This represents a 120% increase over the year 2009. How many people visited a national park in 2009?
Answers
GPT-4o mini
To find out how many people visited the national park in 2009, we can let \( x \) represent the number of visitors in 2009. The problem states that the number of visitors in 2010 (56.4 million) is a 120% increase over the number of visitors in 2009.
This means that the number of visitors in 2010 can be represented as:
\[
x + 1.2x = 56.4 \text{ million}
\]
This simplifies to:
\[
2.2x = 56.4 \text{ million}
\]
Now, we can solve for \( x \):
\[
x = \frac{56.4 \text{ million}}{2.2}
\]
Calculating this gives:
\[
x = 25.6363636363 \text{ million} \approx 25.64 \text{ million}
\]
Thus, approximately \( 25.64 \) million people visited the national park in 2009.
This means that the number of visitors in 2010 can be represented as:
\[
x + 1.2x = 56.4 \text{ million}
\]
This simplifies to:
\[
2.2x = 56.4 \text{ million}
\]
Now, we can solve for \( x \):
\[
x = \frac{56.4 \text{ million}}{2.2}
\]
Calculating this gives:
\[
x = 25.6363636363 \text{ million} \approx 25.64 \text{ million}
\]
Thus, approximately \( 25.64 \) million people visited the national park in 2009.