THE HOSTEL OF AN ENGINEERING INSTITUTE HAS 320 STUDENTS AND THE FOOD STOCK FOR 80 DAYS. IF 20 STUDENTS LEAVE THE HOSTEL AFTER 20 DAYS,FOR HOW MANY MORE DAYS WILL THE FOOD LAST?
To find out how many more days the food will last after 20 students leave the hostel, we need to calculate the new consumption rate and then divide the remaining food stock by the new consumption rate.
Here's how you can do it:
1. Calculate the initial consumption rate per student per day:
- Divide the total number of students by the number of days the food stock lasts:
320 students / 80 days = 4 students per day
2. Calculate the initial food consumption per day:
- Multiply the consumption rate by the total number of students:
4 students per day * 320 students = 1280 units of food per day
3. Calculate the total food consumption after 20 days:
- Multiply the food consumption per day by the number of days:
1280 units per day * 20 days = 25,600 units of food
4. Calculate the new consumption rate per student per day:
- Divide the remaining students by the remaining days:
(320 students - 20 students) / (80 days - 20 days) = 300 students / 60 days = 5 students per day
5. Calculate the remaining food stock:
- Subtract the total food consumption after 20 days from the initial stock:
25,600 units - (4 units per day * 20 days) = 25,600 units - 80 units = 25,520 units
6. Calculate how many more days the food will last with the new consumption rate:
- Divide the remaining food stock by the new consumption rate:
25,520 units / 5 students per day = 5,104 days
Therefore, the food will last for approximately 5,104 more days after 20 students leave the hostel.