Question

В ясельной группе 11 деток любят манную кашу, 13 – гречневую и 7 малышей – перловую. Четверо любят и манную, и гречневую, 3 – манную и перловую, 6- гречневую и перловую, а двое с удовольствием «уплетают» все три вида каши. Сколько детей в этой группе, если в ней нет ни одного ребёнка, вовсе не любящего кашу?

Answer 1

Задачу можно решая, используя так называемые круги Эйлера (см. рисунок в прилагаемом файле).
K1+K2+K4+K5 = 11
K2+K3+K5+K6 = 13
K4+K5+K6+K7 = 7
K2+K5 = 4
K4+K5 = 3
K5+K6 = 6
K5 = 2
K1+K2+K3+K4+K5+K6+K7 = ?
Находим K2, K4 и K6:
K2 = 2
K4 = 1
K6 = 4
K3+K6 = 13-K2-K5 = 13-2-2 = 9
K7 = 7-K4-K5-K6 = 7-1-2-4 = 0
(K1+K2+K4+K5)+(K3+K6)+K7 = 11+9+0 = 20
Ответ: 20

Answer 2

Problem Analysis

We are given the following information about the children in a nursery group: - 11 children like semolina porridge (manna kasha) - 13 children like buckwheat porridge (grechnevaya kasha) - 7 children like pearl barley porridge (perlovaya kasha) - 4 children like both semolina and buckwheat porridge - 3 children like both semolina and pearl barley porridge - 6 children like both buckwheat and pearl barley porridge - 2 children like all three types of porridge

We need to determine the number of children in the group who do not like any type of porridge.

Solution

Let's solve this problem step by step.

1. Let's start by finding the total number of children who like at least one type of porridge. We can do this by adding the number of children who like each type of porridge:

- Number of children who like semolina porridge: 11 - Number of children who like buckwheat porridge: 13 - Number of children who like pearl barley porridge: 7

Therefore, the total number of children who like at least one type of porridge is 11 + 13 + 7 = 31.

2. Now, let's subtract the number of children who like two types of porridge from the total number of children who like at least one type of porridge:

- Number of children who like both semolina and buckwheat porridge: 4 - Number of children who like both semolina and pearl barley porridge: 3 - Number of children who like both buckwheat and pearl barley porridge: 6

We need to subtract the sum of these three numbers from the total number of children who like at least one type of porridge:

31 - (4 + 3 + 6) = 31 - 13 = 18

Therefore, there are 18 children who like only one type of porridge.

3. Finally, let's subtract the number of children who like all three types of porridge from the number of children who like only one type of porridge:

- Number of children who like all three types of porridge: 2

18 - 2 = 16

Therefore, there are 16 children who like only one type of porridge.

4. Now, let's find the number of children who do not like any type of porridge. We can do this by subtracting the total number of children who like at least one type of porridge from the total number of children in the group:

- Total number of children in the group: Unknown

We don't have the total number of children in the group, so we cannot determine the number of children who do not like any type of porridge.

Therefore, we cannot determine the number of children in the group who do not like any type of porridge without knowing the total number of children in the group.

Please let me know if there is anything else I can help you with.