Question

Ina camp with 64 soldiers ,there is enough ammunition to last for 16 days . If after 2 days , 8 soldiers leave the camp . How long will the ammunition last?

Answer 1

Let the ammunition used by 1 soldier in 1 day be x.

Camp strength=64 soldiers (given)

Camp strength after 2 days = 64-8= 54

Let the no. of days ammunition will last after soldiers left be y.

Total ammunition=64×16×x

So,

Understand it carefully.....

64×2×x + 56 × y × x = 64×16×x

=>x(64×2 + 56 × y) = x(64×16)

=>(64×2 + 56 × y)=(64×16)

=> 128 + 56y = 1024

=> 56y=1024 - 128

=> y = 896/56

=>y = 16

It means that ammunition will last (y+2)days from starting = 16 + 2 = 18 days....

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