## Task 3 - 170523

An area of $1710 \mathrm{~m}^{2}$ is divided into 9 plots. Each of the plots is either $150 \mathrm{~m}^{2}$ or $210 \mathrm{~m}^{2}$ in size.

How many plots of each size are there in total on the specified area?
The number of plots of size $150 \mathrm{~m}^{2}$ is one of the numbers from 0 to 9. For each of these numbers, the following values are obtained:

| Number of 150 m² plots | Area | Number of 210 m² plots | Area | Total area of all plots |
| :---: | :---: | :---: | :---: | :---: |
| 0 | $0 \mathrm{~m}^{2}$ | 9 | $1890 \mathrm{~m}^{2}$ | $1890 \mathrm{~m}^{2}$ |
| 1 | $150 \mathrm{~m}^{2}$ | 8 | $1680 \mathrm{~m}^{2}$ | $1830 \mathrm{~m}^{2}$ |
| 2 | $300 \mathrm{~m}^{2}$ | 7 | $1470 \mathrm{~m}^{2}$ | $1770 \mathrm{~m}^{2}$ |
| 3 | $450 \mathrm{~m}^{2}$ | 6 | $1260 \mathrm{~m}^{2}$ | $1710 \mathrm{~m}^{2}$ |
| 4 | $600 \mathrm{~m}^{2}$ | 5 | $1050 \mathrm{~m}^{2}$ | $1650 \mathrm{~m}^{2}$ |
| 5 | $750 \mathrm{~m}^{2}$ | 4 | $840 \mathrm{~m}^{2}$ | $1590 \mathrm{~m}^{2}$ |
| 6 | $900 \mathrm{~m}^{2}$ | 3 | $630 \mathrm{~m}^{2}$ | $1530 \mathrm{~m}^{2}$ |
| 7 | $1050 \mathrm{~m}^{2}$ | 2 | $420 \mathrm{~m}^{2}$ | $1470 \mathrm{~m}^{2}$ |
| 8 | $1200 \mathrm{~m}^{2}$ | 1 | $210 \mathrm{~m}^{2}$ | $1410 \mathrm{~m}^{2}$ |
| 9 | $1350 \mathrm{~m}^{2}$ | 0 | $0 \mathrm{~m}^{2}$ | $1350 \mathrm{~m}^{2}$ |

Since the total area of all plots is $170 \mathrm{~m}^{2}$, there are consequently 3 plots of size $150 \mathrm{~m}^{2}$ and 6 plots of size $210 \mathrm{~m}^{2}$.