Question

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?

Answer 1

Given:

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

182 students prefer indoor recess.

To find: Number of students prefer outdoor recess.

Step-by-step explanation:

Let 'x' be the total number of students.

`\begin{gathered} \text{Percentage of students prefer indoor recess=100-72} \\ =28\text{ \%} \end{gathered}`
`\begin{gathered} 182=x*(28)/(100) \\ x=182*(100)/(28) \\ x=650 \end{gathered}`
`\begin{gathered} \text{Number of students prefer outdoor recess=650}*(72)/(100) \\ =468 \end{gathered}`

Therefore, Number of students prefer outdoor recess are 468.