To answer this question, we must execute several steps.
Step 1:
Determine the total food consumption capacity of initial 125 students for 18 days. We can do this by simply multiplying the number of students by the number of days the food can last them.
In this case, it would be 125 students * 18 days = 2,250 total food consumption capacity.
Step 2:
Calculate the total number of students after 25 more join.
The initial number of students is 125, if 25 more students were to join, the total number of students would now be 125 initial students + 25 additional students = 150.
Step 3:
We now have to calculate the new duration for which the food will last, considering the new total of students.
Under the initial conditions, the food could last for 2,250 units (each unit represents the daily food consumption of a student) and we now have 150 students to feed.
Therefore, each student has a share of 2,250 total units / 150 students = 15 units of food
This suggests that, after their numbers increased by 25 students from 125, the food that was initially set to last for 18 days will now only last for 15 days.