Answer:
312 students
Step-by-step explanation:
In this problem, we are told that the current population of students in the public school is
n = 359
We can call
[tex]n_0[/tex] = the population of students the previous year
We know that the attendance has increased by 15% in the past year, so we can write
[tex]n=n_0 + \frac{15}{100}n_0[/tex]
where 15/100 represents the percentage of 15%.
The expression can be rewritten as
[tex]n=n_0 (1+0.15)[/tex]
And solving for n0, we find how many students were enrolled the year before:
[tex]n_0 = \frac{n}{1+0.15}=\frac{359}{1.15}=312[/tex]