Respuesta :
The enrollment in 2000 at state university is 7375
Solution:
Given that, From 2000 to 2006, the number of students enrolled at a state university increased by 40%.
The number of students enrolled at the university in 2006 was 10,325
We have to find what was the enrollment in 2000?
Students enrolled in 2006 = students enrolled in 2000 + 40% of students enrolled in 2000
[tex]\text { students enrolled in } 2006=\text { students enrolled in } 2000 \times(1+40 \%)[/tex]
[tex]\begin{array}{l}{10325=\text { students enrolled in } 2000 \times\left(1+\frac{40}{100}\right)} \\\\ {10325=\text { students enrolled in } 2000 \times\left(1+\frac{2}{5}\right)}\end{array}[/tex]
[tex]\begin{array}{l}{10325=\text { students enrolled in } 2000 \times \frac{5+2}{5}} \\\\ {10325=\text { students enrolled in } 2000 \times \frac{7}{5}}\end{array}[/tex]
[tex]\begin{array}{l}{\text { Students enrolled in } 2000=10325 \times \frac{5}{7}} \\\\ {\text { Students enrolled in } 2000=1475 \times 5=7375}\end{array}[/tex]
Hence, 7375 students enrolled in 2000.
