If 45 students can consume a stock of food in 2 months, find for how days the same stock of food will last for 27 students?

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the given data
We know that 45 students can consume a stock of food in 2 months. We need to find out how many days the same stock of food will last for 27 students.

### Step 2: Convert months to days
First, we need to convert the time from months to days. Since 1 month is typically considered as 30 days:
- 2 months = 2 × 30 = 60 days

### Step 3: Calculate the total consumption for 45 students
The total food consumption for 45 students over 60 days can be represented as:
- Total consumption = Number of students × Number of days = 45 students × 60 days

### Step 4: Calculate the consumption per student
Now, we need to find out how long the food would last for one student. We can do this by multiplying the number of students by the number of days:
- Total consumption for 1 student = 45 students × 60 days = 2700 student-days

### Step 5: Calculate how long the food will last for 27 students
To find out how many days the food will last for 27 students, we divide the total consumption (in student-days) by the number of students:
- Days for 27 students = Total consumption for 1 student / Number of students
- Days for 27 students = 2700 student-days / 27 students

### Step 6: Simplify the calculation
Now we can simplify the calculation:
- Days for 27 students = 2700 / 27 = 100 days

Thus, the stock of food will last for **100 days** for 27 students.

### Summary of the Solution:
The stock of food will last for 100 days for 27 students.

---