We have the ratio of students that are from Florida and the ones that are not. For every 3 students from florida, 1 isn't. Therefore we can create the following ratio:
[tex]\frac{3}{1}=\frac{x}{y}[/tex]Where x is the number of Florida's students and y is the number of students that are not from that place. We can rewrite the equation as follows:
[tex]x=3\cdot y[/tex]The sum of "x" and "y" must be equal to the number of students in the university. So we have:
[tex]x+y=12000[/tex]If we replace the value of the first equation on the second, we can solve for y.
[tex]\begin{gathered} 3y+y=12000 \\ 4y=12000 \\ y=\frac{12000}{4} \\ y=3000 \end{gathered}[/tex]Therefore, we can determine the number of students from Florida, by using the first equation:
[tex]\begin{gathered} x=3\cdot3000 \\ x=9000 \end{gathered}[/tex]There are 9000 students from Florida.
