Question

1/4 students of a school come by school bus while 2/5 students ride a bicycle to school.All other students walk to school of which 1/3 walk on their own and the rest are escorted by an elder.If 196 students come to school walking on their own how many students study in school?

Answer 1

Answer:

1680 students

Step-by-step explanation:

let the total number of students be x

then the number of students that walk to school are

$x - ( \frac{1}{4} x + \frac{2}{5} x) = x - \frac{13}{20} x = \frac{7}{20} x$

then, it is given that one third of the students walking to school are escorted and is equal to 196

so

$\frac{1}{3} \times \frac{7}{20} x = 196$

or

$x = \frac{196 \times 20 \times 3}{7}$

then we get

$x = 1680$

so there are altotal 1680 students in the school

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Answer 2

$\huge\mathcal\red{Answer}$

$\mathcal\blue{let \: the \: total \: number \: of \: students \: be \: x}$

$\mathsf\green{therefore \: no. \: of \: students \: that \: walk \: to \: school \: are}$

$= > x - ( \frac{1}{4} x + \frac{2}{5} x) \\ \\ = > x - ( \frac{5x + 8x}{20} ) \\ \\ = > x - \frac{13x}{20} \\ \\ = > \frac{20x - 13x}{20} \\ \\ = > \frac{7x}{20}$

hence it is given that 1/3 of the students walking to school are escorted by an elder is equals to 196

ATQ,

$\huge\mathbb\red{ \frac{1}{3} \: of \: \frac{7x}{20} = 196}$

$= > \frac{1}{3} \times \frac{7x}{20} = 196 \\ \\ = > x = \frac{196 \times 20 \times 3}{7} \\ \\ = > x = 1680$

$\huge\mathfrak\pink{hope \: it \: helps \: u \: }$

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