Question

In a locality, the first 10 households generate total 8 kg of plastic waste each day. The next 15 households generate 0.8 kg of plastic waste each, and the last 10 households generate total 10 kg of plastic waste each day. A recycling van has 5 bin each can hold a maximum 2 kg of waste.

In how many turns can the van collect the plastic waste for recycling each day?

Answer 1

Each day, the first $10$ households generate $8\text{kg}$ of plastic waste.

The next $15$ households generate $0.8\text{kg}$ of plastic waste each in each day.
$\therefore$ Total waste generated in each day by these households $=0.8\times 15=12\text{kg}$

The last $10$ households generate $10\text{kg}$ of plastic waste.

$\therefore$ Total plastic generated $=8+12+10=30\text{kg}$

Each bin can hold $2\text{kg}$ of plastic.
Total number of bins in the van $=5$
$\therefore$ In one turn, the van can carry $2\text{kg}\times 5=10\text{kg}$ of plastic.

To collect total of $30\text{kg}$ plastic, the van needs to return $\frac{30\text{kg}}{10\text{kg}}=3$ times.