 # ML Aggarwal Solutions Class 8 Mathematics Solutions for Rational Numbers Exercise 1.6 in Chapter 1 - Rational Numbers

2 / 5 of the total number of students of a school come by a 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 the school?

Let total number of students be 1

Students who come by car = 2 / 5

Students who come by bus = 1 / 4

Students who come by walking = 1 / 3 of remaining

Rest students = 1 – (2 / 5 + 1 / 4)

= 1 – (8 + 5) / 20

= 1 – (13 / 20)

We get,

= 7 / 20

Number of students who come by walking can be calculated as below

Number of students who come by walking = 1 / 3 of 7 / 20

= 7 / 60

Now, 7 / 60 of total students = 224

Total students = (224 × 60) / 7

= 32 × 60

= 1920

Hence, 1920 students study in the school

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