13.323. For the production of wheat bread, as many kilograms of flour were taken as the percentage that the leaven constitutes for this flour. For the production of rye bread, 10 kg more flour was taken, i.e., as many kilograms as the percentage that the leaven constitutes for rye flour. How many kilograms of each type of flour were taken if a total of 112.5 kg of bread was baked?
Solution.

Let $x$ be the mass of flour for wheat bread, and $(x+10)$ be for rye bread.

According to the condition, $x+x \cdot \frac{x}{100}+(x+10)+\frac{x+10}{100}(x+10)=112.5$ from which $x=35$.

Answer: 35 and 45 kg.