4. 12 baskets of apples and 14 baskets of pears weigh 6 c 92 kg. Moreover, the weight of one basket of pears is 10 kg less than the weight of one basket of apples. How much does one basket of pears and one basket of apples weigh separately?
4. This problem can be solved both analytically and arithmetically.

The first method of solving. Given that the weight of one basket of pears is 10 kg less than the weight of one basket of apples, we can write the following equation:

$$
A = P + 10 .
$$

Using the first condition of the problem (12A + 14P = 692), we can derive an equation to determine the weight of one basket of pears:

$$
\begin{gathered}
12 \times (P + 10) + 14 \times P = 692 \\
26 \times P + 120 = 692 \\
26 \times P = 572 \\
P = 22(\text{kg})
\end{gathered}
$$

Then, a basket of apples weighs 32 kg (22 + 10 = 32).

The second method of solving.

1) $10 \times 14 = 140$ (kg) - this is how much less 14 baskets of pears weigh compared to 14 baskets of apples;
2) $692 + 140 = 832$ (kg) - this would be the total if all baskets were filled with apples;
3) $832 \div 26 = 32$ (kg) - the weight of one basket of apples;
4) $32 - 10 = 22$ (kg) - the weight of one basket of pears.

The third method of solving (Andrey Belokopytov, student of School No. 12).

1) $10 \times 12 = 120$ (kg) - this is how much more 12 baskets of apples weigh;
2) $692 - 120 = 572$ (kg) - the weight of apples and pears if they were equal;
3) $572 \div 26 = 22$ (kg) - the weight of one basket of pears;
4) $22 + 10 = 32$ (kg) - the weight of one basket of apples.

Answer: A basket of pears weighs 22 kg and a basket of apples weighs 32 kg.