Question

Было 45 грибов. Если взять 23 гриба, то обязательно, хотя бы один будет рыжик, если взять 24 гриба, то обязательно будет хотя бы один груздь. Сколько было рыжиков?.

Answer 1

Если мы возьмём 23 гриба, то обязательно один будет рыжик, а значит не более 22 груздей может быть, та же история с другими: мы берём 24 гриба, из них один груздь, соответственно в корзине не более 23 рыжиков. так как всего 45 грибов, то 22 груздя и 23 рыжика.

Answer 2

Task: Solve the Mushroom Riddle

To solve the mushroom riddle, let's break it down step by step.

1. Total Number of Mushrooms: - There were 45 mushrooms in total.

2. At Least One Russula: - If 23 mushrooms are taken, then at least one will be a russula.

3. At Least One Boletus: - If 24 mushrooms are taken, then at least one will be a boletus.

Let's solve for the number of russula mushrooms.

Solution:

Let's assume the number of russula mushrooms as x.

According to the given information: - If 23 mushrooms are taken, then at least one will be a russula. - If 24 mushrooms are taken, then at least one will be a boletus.

So, the number of non-russula mushrooms when 23 are taken is 22 (23 - 1), and the number of non-boletus mushrooms when 24 are taken is 23 (24 - 1).

Given that there were 45 mushrooms in total, we can form the following equation: - x + 22 = 45 (for russula mushrooms) - (45 - x) + 23 = 45 (for boletus mushrooms)

Solving these equations: - x = 23 (for russula mushrooms) - 45 - x = 22 (for boletus mushrooms)

So, there were 23 russula mushrooms.

This satisfies the given conditions: - If 23 mushrooms are taken, then at least one will be a russula. - If 24 mushrooms are taken, then at least one will be a boletus.

Therefore, the number of russula mushrooms was 23.