In a camp, there is enough flour for 300 persons for 42 days. How long will the flour last if 20 more persons join the camp?
Solution:
No. of people in the Camp No. of days Flour will last
300 42
320 x = ?
Since the flour amount remains fixed , if more people join the flour will last fewer days. It is an inverse variation.
x = 42 × (300/320)
x = 42 × 15/16
x = 6 × 7 × (15/16)
x = 3 × 7 × 15/8
x = 315/8
x = 39(3/8) days
✦ Try This: In a camp, there is enough flour for 400 persons for 35 days. How long will the flour last if 20 more persons join the camp?
No. of people in the Camp No. of days Flour will last
400 35
420 x = ?
Since the flour amount remains fixed , if more people join the flour will last fewer days.
x = 35 × (400/420)
x = 5 × 400/60
x = 200/6
x = 33 (1/3) days
The flour will last 33 (1/3) days.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13
NCERT Exemplar Class 8 Maths Chapter 10 Problem 67
In a camp, there is enough flour for 300 persons for 42 days. How long will the flour last if 20 more persons join the camp
Summary:
In a camp, there is enough flour for 300 persons for 42 days. The flour will last 39 (3/8) days if 20 more persons join the camp
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