Question

In a camp$,$ the provision is there for $500$ scouts for $12$ days$.$ If instead of $500$$,$ there are $600$ scouts$,$ How long will this provision last$?$

Answer 1

Step $1:$ To find the number of days for the provisions last for $600$ scouts.

It is given that $500$ scouts the provisions last for $12$ days$.$

Step $2:$ As the number of scouts are more the provisions last for less number of days.

According to inverse proportion$,$

$n_1\times d_1=n_2\times d_2$

where $n_1,n_2,d_1$ and $d_2$ represents the number of scouts and number of days in two different cases

$n_1=500,d_1=12,d_2=?,n_2=600$

$500\times 12=d_2\times 600$

$d_2=\frac{500\times 12}{600}$

$d_2=\frac{5\times 12}{6}$

$d_2=5\times 2$

$d_2=10$

Hence, For $600$ scouts the provisions last for $10$ days.