Respuesta :

[ Answer ]

[tex]\boxed{80}[/tex]

[ Explanation ]

56 is 70% of __

Turn 70% into a decimal

70% is out of 100, so our fraction (which also means division) would look like this:

[tex]\frac{70}{10}[/tex] = 70 ÷ 100

70 ÷ 200 = 0.7

Now, divide

56 ÷ 0.7

= 80

56 is 70% of 80

[tex]\boxed{[ \ Eclipsed \ ]}}[/tex]

The total number of students is 80.

Given that:

70% of students = 56

To find:

Total number of students out of which 70% is 56 successful students.

Calculations:

Let the total count of students be x.

Then, we will have:

[tex]\dfrac{x \times 70}{100} = 56\\\\x \times 70 = 56 \times 100\\\\x = \dfrac{5600}{70}\\\\x = 80[/tex]

Thus, the total number of students is 80.

Learn more about percentages here:

https://brainly.com/question/8011401