There are 270 girls enrolled at Park Lake Middle School. If 54% of all the students enrolled at the school are girls, how many students are enrolled?

Respuesta :

we know there are 270 gals enrolled, we also know that 54% of all students are enrolled, namely 270 is 54% of the total amount of students, let's say the total is "x".

we know 270 is 54%, what is the 100%, namely "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 270&54\\ x&100 \end{array}\implies \cfrac{270}{x}=\cfrac{54}{100}\implies 27000=54x \\\\\\ \cfrac{27000}{54}=x\implies 500=x[/tex]

Answer: There are 500 students

Step-by-step explanation:

You know that:

- 270 girls enrolled at Park Lake Middle School.

-  54% of all the students enrolled are girls.

Therefore, you can calculate the number of students that are enrolled (which you can call x), as following:

[tex]\frac{270}{54}=\frac{x}{100}\\x=100*\frac{270}{54}\\x=500[/tex] (There are 500 students)