CBSE Class 7 Answered

1200 SOLDIERS IN A FORT HAD ENOUGH FOOD FOR 28 DAYS. AFTER 4 DAYS, SOME SOLDIERS WERE TRANSFERRED TO ANOTHER FORT AND THUS THE FOOD LASTED FOR AN EXTRA 32 DAYS. HOW MANY SOLDIERS LEFT THE FORT???

Asked by vnykgupta | 23 Feb, 2016, 02:44: PM

Expert Answer

begin mathsize 14px style L e t space t h e space n u m b e r space o f space s o l d i e r s space l e f t equals x A f t e r space 4 space d a y s comma space f o r space 1200 space s o l d i e r s space t h e space f o o d space w o u l d space l a s t space f o r space 28 space minus space 4 space equals space 24 space d a y s N o w comma space w e space h a v e N o. space o f space s o l d i e r s space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 1200 space space space space space space space space space space space space space 1200 minus x N o. space o f space d a y s space t h a t space t h e space f o o d space l a s t space space f o r space space space space space space space space space space space space space space space space space space space space 24 space space space space space space space space space space space space space space space space space space space 32 W h e n space t h e space n o. space o f space s o l d i e r s space d e c r e a s e comma space t h e space f o o d space w o u l d space l a s t space f o r space m o r e space d a y s. T h u s comma space t h e r e space i s space i n v e r s e space v a r i a t i o n space b e t w e e n space s o l d i e r s space a n d space n o. space o f space d a y s. space rightwards double arrow 1200 cross times 24 equals left parenthesis 1200 minus x right parenthesis cross times 32 rightwards double arrow fraction numerator 1200 cross times 24 over denominator 32 end fraction equals 1200 minus x rightwards double arrow 900 equals 1200 minus x rightwards double arrow x equals 1200 minus 900 equals 300 T h u s comma space t h e space n u m b e r space o f space s o l d i e r s space l e f t space t h e space f o r t space i s space 300. end style

Answered by Rashmi Khot | 23 Feb, 2016, 05:29: PM

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