Question

Вова собрал целую корзину лисичек и волнушек, всего 24 гриба. Известно, что среди любых 16, есть хотя бы одна волнушка, а среди любых 10 хотя бы одна лисичка. Сколько лисичек в корзине? Сколько волнушек в корзине?​

Answer 1

Ответ:

15 лисичек, 9 волнушек

Пошаговое объяснение:

1) Если среди любых 16 грибов есть хотя бы одна волнушка, лисичек в корзине не больше 15 (16 - 1 = 15)

2) Если среди любых 10 грибов есть хотя бы одна лисичка, волнушек в корзине не больше 9 (10 - 1 = 9)

Проверяем сумму найденных значений с общим числом грибов в корзине:

15(лисичек) + 9(волнушек) = 24 гриба.

Answer 2

Problem Analysis

Vova collected a total of 24 mushrooms, which consist of both "lisichki" and "volnushki". It is known that among any group of 16 mushrooms, there is at least one "volnushka", and among any group of 10 mushrooms, there is at least one "lisichka". We need to determine the number of "lisichki" and "volnushki" in the basket.

Solution

Let's assume that there are "x" "lisichki" and "y" "volnushki" in the basket. We can set up two equations based on the given information:

Equation 1: x + y = 24 (the total number of mushrooms in the basket) Equation 2: Among any group of 16 mushrooms, there is at least one "volnushka". This implies that if we remove all the "volnushki" from the basket, we should still have 16 mushrooms remaining. So, x + 0 = 16, which simplifies to x = 16.

Let's substitute the value of x in Equation 1: 16 + y = 24 y = 24 - 16 y = 8

Therefore, there are 16 "lisichki" and 8 "volnushki" in the basket.

Answer

There are 16 "lisichki" and 8 "volnushki" in the basket.