Question

$108kg$ of ration is sufficient for $18$ students for $15$ days. Find for how many students will $70kg$ of ration of sufficient for $25$ days.

Answer 1

Amount of ration sufficient for $18$ students for $15$ days$=108$kg

Amount of ration sufficient for $1$ student for $15$ days$=\frac{108}{18}$kg

Amount of ration sufficient for $1$ students for $1$ day $=\frac{108}{18}\times \frac{1}{15}$kg

Amount of ration sufficient for $1$ student for $25$ days$=\frac{108}{18}\times \frac{25}{15}$kg

$=10$kg

$10$kg of ration is sufficient for $25$ days for students$=1$

$70$kg of ration is sufficient for $25$ days for students$=\frac{70}{10}$

$=7$

$\therefore 70$kg of ration will be sufficient for $7$ students.