Question

2/5 of total number of student of a school come by car while 1/4 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 1

 let the total number of students = x 
students coming by car = 2/5 of  x  = 2x/5 
students coming by bus = 1/4 
students coming by walking on their own  = 1/3
total students who come by walk = 224
according to the sum 
            x = 2x/5 + 1/4 + 224
            x = 8x +5 /20  + 224
            x =  8x+5+4480/20
           x-8x = 5+4480 /20
             -7x =  20+4480/20
             -7x = 4468 /20 ( cross multiplication next step )
           -7x * 20 = 4468
             -140x = 4468
                    x = 4468/-140
                    x = 31.914
the answer is 31.914
              

Answer 2

Answer:

1920

Step-by-step explanation:

Let the total number of students be x

$\frac{2x}{5}$ ⇒ Car

$\frac{x}{4}$ ⇒ Bus

= x - ($\frac{2x}{5} + \frac{x}{4}$)

= x - ($\frac{8x+5x}{20}$)

= x - ($\frac{13x}{20}$)

= $\frac{7x}{20}$ ⇒ Walking

($x = \frac{20}{20} So, \frac{20}{20} - \frac{13x}{20}$)

$\frac{1}{3}$ ⇒ Walk on their own

$\frac{7x}{20} × \frac{1}{3}$ = 224

$\frac{7x}{20} =\frac{244}{1}$

(Cross Multimlication)

7x = 224 × 60

x = $\frac{224 * 60}{7}$

  = 1920

So, there are 1920 students in that school.