Question

Мама купила своим детям конфет. Если она раздаст своим детям по две конфеты то три конфеты останутся а если захочет раздать по три конфеты то двух конфет ей не хватит. Сколько у мамы конфет

Answer 1

Пусть у мамы Х детей.
Тогда если она раздает конфеты по 2 конфеты, то конфет она купила
Х*2+3
Но с другой стороны если она раздает по 3 конфеты то 2х конфет ей не хватит
значит она купила  Х*3-2
Приравняем
Х*2+3=Х*3-2
Х=5
У мамы было 5 детей
Значит мама купила 5*2+3=13 конфет

Ответ мама купила 13 конфет пятерым детям

Answer 2

Problem Analysis

The problem states that a mother bought candies for her children. If she gives each child two candies, three candies will be left. However, if she wants to give each child three candies, she will be short of two candies. We need to determine how many candies the mother has.

Solution

Let's assume the number of candies the mother has is x.

If she gives each child two candies, three candies will be left. This can be represented by the equation:

x - 2 * number_of_children = 3 If she wants to give each child three candies, she will be short of two candies. This can be represented by the equation:

x - 3 * number_of_children = -2 To solve this system of equations, we can use substitution or elimination.

Substitution Method

We can solve the system of equations by substituting the value of x from the first equation into the second equation.

From the first equation, we have:

x = 3 + 2 * number_of_children

Substituting this value into the second equation:

(3 + 2 * number_of_children) - 3 * number_of_children = -2

Simplifying the equation:

3 + 2 * number_of_children - 3 * number_of_children = -2

Combining like terms:

3 - number_of_children = -2

Adding number_of_children to both sides:

3 - number_of_children + number_of_children = -2 + number_of_children

Simplifying:

3 = -2 + number_of_children

Adding 2 to both sides:

3 + 2 = -2 + number_of_children + 2

Simplifying:

5 = number_of_children

Therefore, the number of children is 5.

To find the number of candies the mother has, we can substitute this value back into one of the original equations. Let's use the first equation:

x - 2 * number_of_children = 3

Substituting the values:

x - 2 * 5 = 3

Simplifying:

x - 10 = 3

Adding 10 to both sides:

x - 10 + 10 = 3 + 10

Simplifying:

x = 13

Therefore, the mother has 13 candies.

Answer

The mother has 13 candies.