Question

In a classroom, there are $2$ benches for $6$ students. If each bench has equal number of students, calculate the number of benches for $36$ students.

• A. $12$
• B. $18$
• C. $6$
• D. $24$

Answer 1

The correct option is A $12$

The ratio of benches to students will be $\frac{2}{6}=\frac{1}{3}$, which is the same as $1:3$.

Drawing the tape diagram,
One rectangle represents the benches because the ratio is $1:3,$ which means $1$ green rectangle will represent $2$ benches and $1$ red rectangle represents $2$ students.

For $36$ students, each rectangle should represent $\frac{36}{3}$ students.

$\frac{36}{3}=\frac{3\times 12}{3}$

$=12$ students

Hence, $1$ red rectangle represents $12$ students.

Similarly, $1$ green rectangle will represent $1\times 12$ benches.

$1\times 12=12$ benches