In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
Solution:
No. of girls in the Hostel No. of Days provision last
50 40
80 x = ?
The more the girls in the hostel the fewer the no. of days the provision will last. Therefore,
No. of days provisions will be last if 30 more girls join:
x = 40 × (50/80) = 25 days
✦ Try This: In a hostel of 100 girls, there are food provisions for 60 days. If 20 more girls join the hostel, how long will these provisions last?
No. of girls in the Hostel No. of Days provision last
100 60
120 x = ?
The more the girls in the hostel the fewer the no. of days the provision will last and hence it is an inverse variation.
Therefore,
No. of days provisions will be last if 20 more girls join:
x = 60 × (100/120) = 50 days
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13
NCERT Exemplar Class 8 Maths Chapter 10 Problem 83
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last
Summary:
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, these provisions will last 25 days
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