Question

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

The consumption before introduction of biodegradable bags is given as:
Calculate the present plastic bag consumption.

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

Answer 1

The correct option is B $\frac{17}{6}kg$


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

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

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

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

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

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

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

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

Present plastic bag consumption will be:

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

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

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