Question

There are 100 students in a hostel. Food provision for them is for 20 days. How long will these provision last,if 25 more students join the group.

Answer 1

if 25 students r added then 100+25=125 students
lasting days for 100 students = 20
then for 125 students =?(X)
indirect proportion
therefore X=(125/100)*20
=25 days

Answer 2

$\huge\star\underline\textsf{Answer:- }$

$\underline\textsf{the provisions will last for \underline\red{ 16days}}\\\textsf{if \underline\red{25}more boys join the hostel }$

$\frak{Given}\begin{cases}\tt{100\: students } \\ \texttt{Food provisions =20days } \\\texttt{25 more children join group }\end{cases}$

$\large\underline\frak{Suppose,}$

$\small\textsf{ The provisions last =\red{Y days}}$

$\large\underline\frak{to find:- }$

$\underbrace\texttt{How long provision last? }$

$\small\texttt{When the number of students is 125}$

$\begin{tabular}{IcIclc}</p><p>\cline{1-3}Number of students & 100 & 125 \\</p><p>\cline{1-3} Number of day & 20&Y \\</p><p>\cline{1-3}</p><p>\end{tabular}$

$\small\underline\textsf{Therefore, }$

$\sf100 \times 20 = 125 \times y$

$\boxed{\underline{\sf {\frac{100 \times 20}{125} = y}}}$

$\sf16 = y$

$\large\red{\boxed{\sf{y = 16}}}$

$\underline\textsf{the provisions will last for \underline\red{ 16days}}\\\textsf{if \underline\red{25}more boys join the hostel }$