Math, asked by silentcry, 6 months ago

In a hostel 105 students had food provisions for 40 days. But after 8 days
25 students left the hostel. For how many days will the provisions last now?

(Use method of variation only to solve this problem)
please help​

Answers

Answered by das013541
11

Answer:

42 days

Step-by-step explanation:

In a hostel, 105 students had food provisions for 40 days

Clearly, the remaining food is sufficient for 105 students for (40 – 8) days = 32 days.

But remaining students = (105 – 25) students = 80 students

Let the required number of days be 'x'

Number of students : 105 80

Number of days : 32 x

Clearly, less students would have food for more days

So, it is a case of inverse proportion

.: 105 × 32 = 80x

=> x = 105 × 32/80

=> x = 42 days

Ans : The food provisions will now last for 42 days.

(I think you are doing the Maths assignment 14?)

Answered by parijatdwary
2

Answer:

42 days

Step-by-step explanation:

In a hostel, 105 students had food provisions for 40 days

Clearly, the remaining food is sufficient for 105 students for (40 – 8) days = 32 days.

But remaining students = (105 – 25) students = 80 students

Let the required number of days be 'x'

Number of students : 105 80

Number of days : 32 x

Clearly, less students would have food for more days

So, it is a case of inverse proportion

.: 105 × 32 = 80x

=> x = 105 × 32/80

=> x = 42 days

Ans : The food provisions will now last for 42 days.

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