2/5 of the 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?

Solution:

Let x be the students that come to school by walk

Given 224 students come to school by walking on their own

Applying our knowledge on fractions, we compute as follows.

x/3 = 224

x = 224 × 3 = 672

2/3 walk with their parents = 2/3 × 672 = 2 × 224 = 448

Let the total students studying in the school be S

2S/5 + S/4 + 672 = S

672 = S - S/4 - 2S/5

672 = 3S/4 - 2S/5

672 = (15S - 8S)/20

7S/20 = 672

S = 13440/7 = 1920

There are 1920 students studying in that school

✦ Try This: 1/4 of the 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 1/2 walk on their own and the rest are escorted by their parents. If 300 students come to school walking on their own, how many students study in that school?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 120

2/5 of the 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?

Summary:

2/5 of the 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, so students study in that school are 1920

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