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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?

Answer:

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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