Step-by-step explanation
Since 43% of the people supported the visiting team, 57% supported the home team.
![100\%-43\%=57\%](https://img.qammunity.org/2023/formulas/mathematics/college/pjybask5yegxijpz3rjglv0nbzz330h4qn.png)
Now, we can use a rule of three to find the number of people were supporters of the home team.
![\begin{gathered} 2800\rightarrow100\% \\ x\rightarrow57\% \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/r908amc2rnv560y4agj6zfogvzkr7wr82g.png)
![\begin{gathered} x=(2800*57\%)/(100\%) \\ x=(2800*57)/(100) \\ x=(159600)/(100) \\ x=1596 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/j8l66f6cbotuikatmc91zp7l00030fd3u1.png)
Answer
1596 people were supporters of the local team.