Mr Johnson has a plot of field that grows dandelion plants. An average of 70 dandelion plants grow on each square metre. Each plant has an average of 10 flowers. Each flower will produce an average of 150 seeds. It is estimated that these plants will produce 130 000 000 seeds in total.

1. Calculate the number of packets by division.

Number of packets
$= \frac{130\,000\,000}{55}$
$= 2\,363\,636.36\ldots$

2. Write the answer in standard form to a sensible accuracy.

$2\,363\,636.36\ldots = 2.363636\ldots \times 10^6$
To 3 significant figures,
$2.363636\ldots \times 10^6 \approx 2.36 \times 10^6$

1. Find the average number of seeds produced per square metre.

For each square metre:

$70$ plants grow.

Each plant has $10$ flowers, and each flower produces $150$ seeds.

$70 \times 10 \times 150 = 105000$

So $105000$ seeds are produced per square metre.

2. Divide the total number of seeds by the number of seeds per square metre.

$\text{Area of plot}=\frac{130000000}{105000}$

$=1238.095\ldots$

To the nearest square metre,

$\text{Area}=1238\text{ m}^2$