Scales and refilling puzzles sometimes seem a bit contrived. But they require sophisticated solution strategies. Starting point of the following task are nine kilograms of rice. These should be divided into two and seven kilograms. Containers are available in sufficient quantity.
Somewhat scarcer are the metal weights that you can use to weigh. There are only two: one for 50 grams and a second for 200 grams.
The balance is a so-called beam balance. If the masses in both bowls are the same size, it is in equilibrium.
Can you measure two and seven kilograms of rice if you are only allowed to use the scale three times?