People attending a football game either supported the home team or the visiting team. If 1369 of the people attending supported the home team and 2331 supported the visiting team, what percentage supported the home team?

1 answer

To find the percentage of people who supported the home team, we first need to calculate the total number of attendees.

The total number of attendees can be calculated by adding those who supported the home team to those who supported the visiting team:

\[ \text{Total attendees} = \text{Home team supporters} + \text{Visiting team supporters} \]

Substituting the numbers given:

\[ \text{Total attendees} = 1369 + 2331 = 3700 \]

Next, we calculate the percentage of attendees who supported the home team using the formula:

\[ \text{Percentage of home team supporters} = \left( \frac{\text{Home team supporters}}{\text{Total attendees}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Percentage of home team supporters} = \left( \frac{1369}{3700} \right) \times 100 \]

Now, we perform the division:

\[ \frac{1369}{3700} \approx 0.3700 \]

Next, we multiply by 100 to convert it to a percentage:

\[ 0.3700 \times 100 \approx 37.00 \]

Therefore, the percentage of people who supported the home team is approximately:

\[ \boxed{37.0%} \]