Question

In a camp there was sufficient food for 250 students for 18 day. How long will the food last if 50 more students join the group?

Answer 1

Let the no. be x,

No. of students     250                   250+50 = 300

Time(in days)         18 days             X

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Because this is a question of inverse proportion,

Hence, x*y = k

Thus,     250*18 = 300*x

              X = 250*18/300

              X = 4500/300

              X = 15

Answer: The food will only be sufficient for 15 days.            

Answer 2

$\textbf{\huge{ANSWER:}}$

$\sf{Given:}$

Food sufficient for 250 students
Food lasts for 18 days

$\sf{To\:find:}$

Number of days the food will last if 50 students are added

$\sf{Solution:}$

Number of days = $\frac{250}{300}\times18$

=》 Days = 5 × 3

=》 Days = $\textbf{15 days}$