Question

2/5 of the total number of students of a school come by car while 1/4 students come by bus to school all oter students walk to school of which 1/3 walk on their own and rest are escorted by their parents if 224 students coming to school by walk how many students studying in the school​

Answer 1

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☆1920

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☆ To find:

• The number of students studying in the school.

☆Given :

• 2/5 of the total number of students come by car
• 1/4 students come by bus
• All other students come walk to school of which 1/3 walk on their own and rest escorted by their parents.
• No.of students come by walk on their own is 224

☆Assuming:

• Let the total number of students studying in the school be x

☆Solution:

• No. of students who come by car

$= \frac{2x}{5}$

• No. of students come by bus

$= \frac{x}{4}$

• No. of students who come by walk

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

• No. of students who come by walk on their own to school

$\frac{7x}{20} \times \frac{1}{3} = 224 \\ = > \frac{7x}{60} = 224 \\ = > 7x = 224 \times 60 \\ = > x = \frac{224 \times 60}{7} \\ = > x = 32 \times 60 \\ = > x = 1920$

☆ Hence:

• Total noumber of students studying in the school is 1920

hope it helps....