5.2. The Wolf, the Hedgehog, the Chizh, and the Beaver were dividing an orange. The Hedgehog got twice as many segments as the Chizh, the Chizh got five times fewer segments than the Beaver, and the Beaver got 8 more segments than the Chizh. Find out how many segments were in the orange, if the Wolf only got the peel.
Answer: 16 segments.

Solution. First method. Let the number of orange segments given to Chizh be $x$, then Hedgehog received $2x$ segments, and Beaver received $5x$ segments (Wolf - 0 segments). Knowing that Beaver received 8 more segments than Chizh, we set up the equation: $5x - x = 8$. The solution to this equation is: $x = 2$.

The total number of segments in the orange was $x + 2x + 5x + 0 = 8x$. Substituting $x = 2$, we get 16 segments.

Second method. Let the number of orange segments given to Chizh be one part, then Hedgehog received two parts, Beaver received five parts, and Wolf received zero parts. Beaver received 4 parts more than Chizh, which is 8 segments. Therefore, one part is 2 segments. Since there are 8 parts in total, the number of segments is 16.

## Grading criteria:

+ the correct answer and a fully justified solution (by any method) are provided

$\pm$ the equation is correctly set up and the number of segments for one of the animals is correctly and justifiedly found, but the correct answer is missing

$\mp$ the equation is correctly set up, but it is not solved or is solved incorrectly

干 only the correct answer is provided and it is verified that it satisfies the condition

- only the answer is provided
- the problem is not solved or is solved incorrectly