Question

A hostel mess has provisions for 200 students for 30 days. It 100 new students join the hostel, how long will the provisions last?

Answer 1

The provisions for 200 students last for 30 days.

First, find how long the provision can last for 1 student.

30 days × 200 students = 6000 days

Then, calculate the number of students in the hostel after 100 students joined.

200 + 100 = 300 students

Lastly, find out how long the hostel's provisions will last for 300 students with the division of the number of days the provision lasts for 1 student by the total number of students.

6000 days ÷ 300 students = 20 days

Hence, the hostel's provisions will last 20 days.

Answer 2

200 students = 30 days (Given)

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STEP 1 : Find the number of days the provisions can last if there was only 1 student:

1 student = 30 x 200 = 6000 days

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STEP 2: Find number of students after 100 new students joined in:

200 + 100 = 300

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STEP 3: Find the number of days the provisions can last if there were 300 students:

300 students = 6000 ÷ 300 = 20 days

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Answer: The provisions can last for 20 days