13.091. The 300 kg of goods in stock were sold in unequal quantities to two organizations at a price of 37.5 rubles per kg. The first organization transports the purchased goods a distance of 20 km, while the second organization transports them 30 km. Transporting 10 kg of goods costs 1.5 rubles per km. Knowing that the second organization paid 2700 rubles more than the first for the purchase and transportation of the goods, determine how many kilograms each organization bought and how much they paid for the goods and their transportation.
Solution.

Using the condition of the problem, we will form a table

| Organization | Product (tons) | Cost (rubles) | Transportation (rubles) | Total cost (rubles) |
| :---: | :---: | :---: | :---: | :---: |
| № 1 | $x$ | $37.5 x$ | $3 x$ | $40.5 x$ |
| № 2 | $300-x$ | $37.5(300-x)$ | $4.5(300-x)$ | $42(300-x)$ |

According to the condition of the problem, we have $42(300-x)-40.5 x=2700$, from which $x=120$ (kg), $300-x=180$ (kg); $40.5 x=4860$ (rubles), $42(300 - x) = 7560$ (rubles).

Answer: 120 kg and 4860 rubles; 180 kg and 7560 rubles.