## Task 1 - 010931

In the first $2 \frac{1}{2}$ years of the Seven-Year Plan, the steelworkers of the Soviet Union produced a total of 113 percent more than the entire Italian steel production of 1959 over the plan.

On average, 310,000 tons of steel were produced additionally each year, which is only 310,000 tons less than in half a year (1959) in Italy.

How many tons of steel did the steelworkers of the Soviet Union produce additionally?

How many tons of steel were produced in Italy in 1959?
If $x$ is the Italian steel production in 1959 in tons, then in the Soviet Union, in $2 \frac{1}{2}$ years, $1.13x$ tons of steel were produced over the plan. In one year, the overproduction in the Soviet Union is then $\frac{1}{2} x - 310000$ tons. Therefore,

$$
\frac{5}{2}\left(\frac{1}{2} x - 310000\right) = \frac{113}{100} x
$$

so $x \approx 6500000$. Thus, in 1959, approximately 6.5 million tons of steel were produced in Italy, and in the $2 \frac{1}{2}$ years in the Soviet Union, $1.13x = 7.3$ million tons of steel were produced over the plan.