Question

In a hostel there is enough food for 4oo students for 30 days. How long will the food last if 100 student left the school?

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• There is enough food for 400 students for 30 days.

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$\red{\underline \bold{To \: Find:}}$

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• How long will the food last if 100 student left the school.

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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Let us firstly calculate the total food which 400 students can eat in 30 days.

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$\red{\bold{Total \: food \: = \: 400 \: \times \: 30}}$

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$\sf \boxed { Total \: food \: = \: 12000 }$

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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100 students left the school.

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Students in school now = 400 - 100

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i.e 300 students

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Let 300 students can eat the same food in 'x' days.

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So,

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$\sf \dashrightarrow 300 \times x = 400 \times 30$

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$\sf \longmapsto 300x = 12000$

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$\sf \longmapsto x = \dfrac { 12000 } { 300 }$

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$\bf \dashrightarrow x = 40$

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Hence food can last for 40 days if 300 students were in school.

$\rule{200}5$

Answer 2

Answer:

The number of days the food will last are :

40 days

Given:

➛In a hostel there is enough food for 400 students for 30 days.

➛ 100 students left the school.

To find :

Total number of days the food will last when 100 students left the school.

Solution:

Let the total number of days the food lasts when 100 students left the school be m.

➛In a hostel there is enough food for 400 students for 30 days.

➛ 100 students left the school.

We are given,

By first condition,

First( 400 students)×(30days)= total food eaten.—(1)

Now,

according to second condition,

100 students left the school .

hence now,

Total number of students becomes : 400 - 100 = 300

So, (300 students)×(m days)= total food eaten.—(2)

Therefore,

According to equation ( 1 ) and ( 2 )

We get,

➨( 300 students ) × ( m days )

= ( 400 students ) ×(30 days)

m days = {( 400 students)×(30days)}/300 students

➨m = ( 400 × 30 ) / 300

➨m = ( 400 ) / 10

➨m = 40

therefore, The number of days the food lasts when 100 students left the school are : 40 days