Students

In a school, 2/5 of the total number of students come by car while 1/4 by bus, and others walk to school, of which 1/3 walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own. Find the total number of students.

Final Answer:

n =  1920

Step-by-step explanation:

$$\begin{gathered} 224=a/3 \\ a=3\cdot 224=672 \\ \frac{2}{5}n+\frac{n}{4}+a=n \\ \frac{2}{5}n+\frac{n}{4}+672=n \\ 2/5\cdot n+n/4+672=n \\ 7n=13440 \\ n=\frac{13440}{7}=1920 \\ n=1920 \end{gathered}$$

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