A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 3080 seats. The students filled 1078 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 find the percentage of the seats filled by the 6th graders, we can use the 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 6th graders (1078 seats) and the "Whole" is the total number of seats in the theater (3080 seats).

Now, substituting the values into the formula:

\[ \text{Percentage} = \left( \frac{1078}{3080} \right) \times 100 \]

First, calculate the division:

\[ \frac{1078}{3080} \approx 0.350649 \]

Next, multiply by 100 to convert to a percentage:

\[ 0.350649 \times 100 \approx 35.0649 \]

Rounding to the nearest hundredth, we get:

\[ 35.06 \]

Thus, the percentage of the seats in the theater filled by the 6th graders is approximately

\[ \boxed{35.06%} \]