Question

Аня,Лиза и Артем собирают наклейки.У Ани на 20 нак.больше,чем у Лизы,и на 20 наклеек меньше, чем у Артема.А вместе у них 90 наклеек,Сколько наклеек у каждого из ребят? Помогите каким способом они решают ее в 4 классе

Answer 1

X+x+20+x+40=90
3x=90-40-20
3x=30
X=30:3
X=10(н)-Лиза
X+20=10+20=30(н)-аня
X+40=10+40=50(н)-Артём
ОТВЕТ: 10, 30, 50.

Answer 2

Problem Analysis

Anya, Lisa, and Artem are collecting stickers. We are given the following information: - Anya has 20 more stickers than Lisa. - Anya has 20 fewer stickers than Artem. - Together, they have 90 stickers.

We need to determine how many stickers each of them has.

Solution

Let's assume that Lisa has x stickers. According to the given information: - Anya has 20 more stickers than Lisa, so Anya has x + 20 stickers. - Anya has 20 fewer stickers than Artem, so Artem has x + 20 + 20 = x + 40 stickers.

Together, they have 90 stickers, so we can write the equation: x + (x + 20) + (x + 40) = 90

Simplifying the equation: 3x + 60 = 90

Subtracting 60 from both sides: 3x = 30

Dividing both sides by 3: x = 10

Therefore, Lisa has 10 stickers, Anya has 10 + 20 = 30 stickers, and Artem has 10 + 40 = 50 stickers.

So, the number of stickers each of them has is as follows: - Lisa: 10 - Anya: 30 - Artem: 50

Explanation

In this problem, we used algebraic equations to solve for the number of stickers each person has. We assumed that Lisa has x stickers and used the given information to express the number of stickers Anya and Artem have in terms of x. By setting up an equation and solving for x, we were able to determine the number of stickers each person has.

This method of solving the problem is commonly taught in 4th grade mathematics. It helps students develop their algebraic thinking and problem-solving skills.

I hope this explanation helps! Let me know if you have any further questions.