Question

1200 hombres tiene viveres para 80 dias, pero al finalizar el dia 25 se retiran 320 hombres. ?Cuántos días mas durarán los víveres?

Answer 1

Let's assume

Number of days needed after 25 days is x days

1200 men have food for 80 days

so, total men-foods is

`=1200* 80`

but at the end of day 25, 320 men retire

So, total men-foods in 25 days is

`=1200* 25`

total men-foods after 25 days is

`=(1200-320)* x`

now, we can equate them

`1200* 80=1200* 25+(1200-320)* x`

now, we can solve for x

`30000+\left(1200-320\right)x=1200* \:80`

`30000+880x=96000`

`880x=66000`

`x=75`

Hence,

Number of days needed after 25 days is 75 days...........Answer