Question

After introduction of biodegradable bags, the plastic bag consumption is reduced by half of the total quantity.

The consumption before introduction is given as:


Calculate the present plastic bag consumption.

• A. $6tons$
• B. $4tons$
• C. $\frac{17}{3}tons$
• D. $\frac{17}{6}tons$

Answer 1

The correct option is D $\frac{17}{6}tons$


$\text{Total plastic bag consumption before}$
$\text{introduction =}2\times \frac{1}{3}+\frac{2}{3}+2\times 1\frac{1}{3}+1\frac{2}{3}$

$=\frac{2}{3}+\frac{2}{3}+2\times 1+2\times \frac{1}{3}+1+\frac{2}{3}$

$=\frac{2}{3}+\frac{2}{3}+2+2\times \frac{1}{3}+1+\frac{2}{3}$

$=\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+2+1$

$=\frac{2+2+2+2}{3}+3$

$=\frac{8}{3}+3$

$=\frac{8+9}{3}tons$

$=\frac{17}{3}tons$

Present plastic bag consumption will be:

$=\frac{17}{3}\times \frac{1}{2}$

$=\frac{17}{6}tons$

$\text{So, present plastic bag consumption is}$
$\frac{17}{6}tons.$