Example 11: A poll taken at Yeber Middle School shows that 72% of students prefer outdoor recess overindoor recess. If 182 students prefer indoor recess, how many students prefer outdoor recess?

Respuesta :

Given:

72% of the students prefer outdoor recess over indoor reces.

182 students prefer indoor recess.

To find: Number of students prefer outdoor recess.

Explanation:

Let 'x' be the total number of students.

[tex]\begin{gathered} \text{Percentage of students prefer indoor recess=100-72} \\ =28\text{ \%} \end{gathered}[/tex][tex]\begin{gathered} 182=x\times\frac{28}{100} \\ x=182\times\frac{100}{28} \\ x=650 \end{gathered}[/tex][tex]\begin{gathered} \text{Number of students prefer outdoor recess=650}\times\frac{72}{100} \\ =468 \end{gathered}[/tex]

Therefore, Number of students prefer outdoor recess are 468.