## Task 2 - 010712

During a voluntary potato collection, three groups of 7th-grade students held a small competition. Together, they collected a total of $52 \mathrm{dt}$ of potatoes. The second group collected $1 \frac{1}{2}$ times as much as the first, and the third group collected $3 \mathrm{dt}$ more than the first.

How many dekatonnes of potatoes did each group collect?
Together, the three groups thus collected $1 \text{ times} + 1 \frac{1}{2} \text{ times} + 1 \text{ times}$ as much as the first group alone plus an additional $3 \text{ dt}$. $3 \frac{1}{2}$ times the yield of the first group is therefore equal to $(52-3) \text{ dt} = 49 \text{ dt}$. This means that the first group collected $14 \text{ dt}$ of potatoes, from which the second group collected $21 \text{ dt}$ and the third group $17 \text{ dt}$.