10. (12 points) 1 kilogram of soybeans can be made into 3 kilograms of tofu, and 1 kilogram of soybean oil requires 6 kilograms of soybeans. Soybeans cost 2 yuan per kilogram, tofu costs 3 yuan per kilogram, and soybean oil costs 15 yuan per kilogram. A batch of soybeans was purchased for 920 yuan, and after being made into tofu or soybean oil and sold, 1800 yuan was obtained. In this batch of soybeans, $\qquad$ kilograms were made into soybean oil.
【Solution】Solution: According to the problem, we have:
920 yuan can buy 460 kilograms of soybeans. If all are made into tofu, then a total of 1380 catties of tofu will be produced, which can be sold for 4140 yuan.
If 1 kilogram of soybean oil is produced, it can be sold for 15 yuan, but it requires 6 kilograms of soybeans, reducing the tofu production by 18 kilograms, and thus reducing the income by 54 yuan, resulting in a difference of 39 yuan.

Therefore, a total of $(4140-1800) \div 39=60$ kilograms of soybean oil can be produced.
So, 360 kilograms of soybeans are used to make soybean oil.
The answer is: 360.