Question

`2/5` of total number of students of a school come by car while `1/4` of students come by bus to school. All the other students 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, how many students study in that school?

Answer 1

Let the number of students study in school be x.

Number of students come by car = `2/5 xx x = 2/5x`

Number of students come by bus = `1/4 xx x = 1/4x`

Remaining students walk to school = `x - (2/5x + 1/4x)`

= `x- ((8x + 5x)/20)`

= `x - (13x)/20`

= `(20x - 13x)/20`

= `(7x)/20`

Now, number of students walk to school on their own = `1/3` of `(7x)/20 = (7x)/60`.

Since, 224 students come to school on their own.

According to the question,

`(7x)/60` = 224

⇒ `x = (224 xx 60)/7`

= 32 × 60

= 1920

Hence, 1920 students study in that school.