Question

1000 children in a hostel had enough food for 28 days. After 4 days some students were shifted to another hostel. As a result the food now lasted for 32 days. How many students were shifted?

Answer 1

Answer:

Let the number of students shifted be xx .

Number of students(x)-: 1000 1000-x

Number of days-: 28 32

As the number of students increase food remains for less days (inverse variation)

1000 × 28 = (1000 - x) × 32

1000-x = \frac{1000* 28}{32} = 8751000−x=

32

1000∗28

=875

x = 1000 - 875 = 125

∴ 125 students were shifted.

Answer 2

Answer:

Step-by-step explanation:

let no of children left be x

after 4 days food would last for 28-4=24

no of children                                      1000             1000-x

no of days the food last for                 24                  32

there is inverse variation between children and no of days

1000*24=(1000-x) *32

1000*24/32=1000-x

750=1000-x

x=1000-750

 =250

students left=250

students shifted=1000-250=750

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