Question

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 32003200 seats. The students filled 24962496 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answer 1

To determine the percentage of the seats in the theater that were filled by the 6th graders, we can use the following formula for percentage:

\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\]

In this case:
- The **Part** is the number of seats filled by the students, which is 2496.
- The **Whole** is the total number of seats in the theater, which is 3200.

Now, substitute the values into the formula:

\[
\text{Percentage} = \left( \frac{2496}{3200} \right) \times 100
\]

First, we calculate \( \frac{2496}{3200} \):

\[
\frac{2496}{3200} \approx 0.780
\]

Now multiply by 100 to convert to a percentage:

\[
0.780 \times 100 \approx 78.0\%
\]

Thus, the percentage of the seats in the theater that were filled by the 6th graders is:

\[
\boxed{78.0\%}
\]