\section*{Task 1 - 011031}

At the XXII Congress of the CPSU, reports were made on the achievements of the best workers in agriculture, who had achieved significant success in increasing yields for cereals and legumes.

In a collective farm in the Vinnitsa region, in 1961, 31 dt of peas per ha were harvested on an area of 708 ha. Furthermore, the collective farm achieved a high yield of 60 dt per ha of corn.

Of the total area under cereal cultivation (including peas), 21 percent was planted with peas and 30 percent with corn. The average yield for the entire area was 38 dt per ha.

What was the yield per ha for the remaining cereal crops?
}

The yield of peas is \(708 \cdot 31 \mathrm{dt}\). Since the \(21\%\) of the total cultivated area used for growing peas corresponds to 708 ha, the total area is \(\frac{708}{0.21}\) ha. Therefore, a total yield of \(\frac{38.708}{0.21} \mathrm{dt}\) was achieved on this area.

The maize cultivation area is \(\frac{0.3 \cdot 708}{0.21}\) ha, so \(\frac{18 \cdot 708}{0.21} \mathrm{dt}\) of maize was harvested.

The area where neither maize nor peas were grown is \(\frac{0.49 \cdot 708}{0.21}\) ha. Therefore, the yield of the remaining cereal crops is

\[
\frac{\left(\frac{38 \cdot 708}{0.21}-708 \cdot 31-\frac{18 \cdot 708}{0.21}\right) \mathrm{dt}}{\frac{0.49 \cdot 708}{0.21} \mathrm{ha}}=27.5 \frac{\mathrm{dt}}{\mathrm{ha}}
\]