6. There are 150 students in a hostel. Food provision for them is for 20 days. How long these provisions will last, if 50 more students join the group? 3 marks
Answers
Answer:
food provision for 150 students for 20 days
food provision for (150+50)=200 students is
for 20×150/200 days
=15 days
so,15 days will last if 50 more students join the
group
Given
we have given total number of students which is 150
food provision is for 20 days
To Find
we have to find number of days of food provision last if 50 more students join the group.
For 150 students ,food provision is for 20 days
If 50 more students join the group then the total number of students= 150+50=200 students
Let the food lasts for x days if 50 more students join the group
From above statement our table look like
Number of students ▏150 ▏200 ▏
Number of days ▏20 ▏x ▏
If we increase the number of students the number of days of food provision will decrease
Now ,
=>150×20=200×x
=>3000=200x
=>200x=3000
=>x=3000÷200
=>x= 15
hence,the food provision will last for 15 days if 50 more students join the group