56 % of students at a college are from in state. if 2380 students are from in state how many students attend the college​

Respuesta :

To find the total number of students attending the college, we can use the percentage given and the total number of in-state students.

Let's represent the total number of students as "x."

If 56% of students are in-state, then we can write this as an equation:

56% of x = 2380

To find out what 56% of x is, we multiply 0.56 (which is the decimal form of 56%) by x:

0.56x = 2380

Now, we can solve for x:

x = 2380 / 0.56

x ≈ 4250

So, approximately 4250 students attend the college.

Answer:

4250

Step-by-step explanation:

To find the total number of students at the college, we can use the given information that 56% of the students are from in-state, and there are 2380 students from in-state.

Let x be the total number of students.

The equation representing the given information is:

[tex]56\%\;\textsf{of}\; x = 2380[/tex]

To solve for x, we need to convert the percentage to a decimal by dividing 56 by 100. Therefore, the equation becomes:

[tex]\dfrac{56}{100}x = 2380[/tex]

[tex]0.56x = 2380[/tex]

Now, solve for x by dividing both sides of the equation by 0.56:

[tex]x = \dfrac{2380}{0.56}[/tex]

[tex]x = 4250[/tex]

Therefore, the total number of students at the college is 4250.