Question

For a group of $32$ students food lasts for $45$ days. For how many days will the same food last for $72$ students?

• A. $13$
• B. $40$
• C. $20$
• D. $6$

Answer 1

Answer: (C)

$20$

Given food lasts for $45$ days for a group of $32$ students.

Let each student consumes $f$ food/day.

total food$=f\times 32\times 45$-----------(i)

Given that if there are 72 students,let food lasts for $x$ days

total food$=f\times 72\times x$-------------(ii)

Equating (i) and (ii)

$f\times 32\times 45=f\times 72\times x$

$\Rightarrow x=\frac{f\times 32\times 45}{f\times 72}$

$\Rightarrow x=\frac{32\times 45}{72}=20$

$\therefore$ Food lasts for $20$ days for a group of $72$ students.