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2/5 of total number of students of a school come by car while ¼ 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:

Let us assume total number of students in the school be y.

From the question it is given that,

The number of students come by car = (2/5) × x

The number of students come by bus = (¼) × x

Remaining students walk to school = x – ((2x/5) + (¼x))

= x – ((8x – 5x)/20)

= x – (13x/20)

= (20x – 13x)/20

= 7x/20

Then, 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.

As per the data given in the question,

= (7x/60) = 224

x = (224 × 60)/7

x = 32 × 60

x = 1920

∴The total number of students in that school is 1920.

"hello students welcome to lido homework
let us solve the question that's given
on our screen today it reads
two by five of total number of students
of a school
come by car while one by four of
students
come by bus to school okay so their
first sentence says that apart
two by five is not the number over here
it's a part or the fraction of
total students okay so two-fifths of
total students
come by car one fourth of them come by
bus
now the second sentence says all the
other students
after removing car and bus student
whatever is remaining
all of them walk to school now i
they walk to school by two ways of which
one third walk on their own
and the rest are escorted by their
parents
okay so walking students are also
divided into two parts
first is one third of them work on their
own and the rest are
walking with their parents now if two 24
students come to school working on their
own how many students study in that
school
okay so they have given a number 224
this number is the students who come to
school
working on their own that is the one
third of the
remaining students that is the one third
of
the remaining students after subtracting
1
4 plus 2 by 5 actually come by
walk that is 224 so let us use this
information first so i'm not taking any
x value
initially i'm taking all the fractions
okay so i write it as part
of students
by bus okay i'm not writing the whole
thing
that is equal to 2 by
5 okay and then part
of students
by car who travel by
car to school is one by four
now in a fraction the whole is one
okay the whole is always considered as
part one
so all from one when you subtract two by
five and one by four the remaining
is the part that come by walk so
therefore
you can write it as part
that come
by walk instead of part you can also
write
fraction that is from the whole
you are subtracting 2 by 5
plus 1 by 4 clear
so this can also be simplified as 1
minus now when you simplify this you are
getting
13 by 20 so when you subtract it from 1
you are getting
7 by 20. so 7 by 20
part of the whole children
come by walk so out of this 7 by
20 from the 7 by 20 now it's not from 1
from the 7 by 20 one third
walk on their own so you write
part or fraction
okay who
walk
on their own
is what one third
one third of what of the remaining
student so it becomes
one third of seven by
20. so when you simplify this you get
the answer as
7 by 60 so 7 by 60
of the whole part now the 7 by 60 is not
out of 7
by 20 because that we have calculated so
7 by 60 of the whole
part walk on their own now
that number is also given 224 students
come to school working on their own
so we take the 7 by 60
of the whole all the students in the
school
so let x be
total students in the school
total students in school
so according to the given sentence one
third work on their own
and if 224 student come to school
working
on their own so if we equate both the
information
what do we get we get it as
just a minute i'll raise this part yeah
so you get it
as 7
by 60 into x
of the total number of students is equal
to
224 now this is simple linear equation
so
x is equal to 224
into 60 by 7. when you simplify this you
get the value
as 1920
so that is the total number of students
so you can come conclude the solution
step writing therefore
total number of students
there that study in school that's the
question
okay total number of students
that
study in school
is equal to 1 9
two zero i hope it's clear if you still
have any doubt put a message
in the comment section and subscribe to
our channel for regular updates bye"

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