in a hostel, there were enough provisions for 200 students for 45 days. 5 days later, 40 students left the hostel. How many days will the reamining food last? ANSWER=50
Answers
In a hostel, there were enough provisions for 200 students for 45 days. 5 days later, 40 students left the hostel.
The remaining food will last for 50 days
Step-by-step explanation:
Given:
200 students have provisions for 45 days
To find out:
How many days, the provisions would last if 40 students leave after 5 days
Solution:
Since 40 students leave after 5 days
Therefore,
After 5 days if there were 200 students, the provisions would have lasted 40 days
For 200 students, the provisions are now for 40 days
For, 1 student the provisions are now for = 40 × 200 days
For 160 students, the provisions are now for = (40 × 200)/160 days
= 50 days
Hope this answer is helpful.
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Given:
In a hostel, there were enough provisions for 200 students for 45 days. 5 days later, 40 students left the hostel.
To find:
How many days will the remaining food last?
Solution:
Let the provision for one student for one day = n
Then, the provision for 200 students for 45days = 200 × 45 × n = 9000n
Theerefore, the food used by 200 students for 5days = 200 × 5 × n = 1000n
Thus the food left = 9000n - 1000n = 8000n
Total number of students after 5 days = 200 - 40 = 160
The food needs of 160 students for one day = 160n
No of days the remaining provision will last = 8000n/160n = 50days
Therefore, for 50 days the remaining food will last.