Question

Ученики 3 класса собрали 3 одинаковых мешка орехов.А ученики 4-го класса собрали 5 таких мешков. Причём 4-ки собрали на 120 килограмм больше, чем 3-ки. Сколько килограмм орехов собрали ученики каждого из классов.?

Answer 1

5-3=2 на 2 мешка больше собрали 4-ки чем 3-ки,Причём 4-ки собрали на 120 килограмм больше, следовательно 120/2=60 кг в одном мешке, значит 3-ки собрали 3*60=180 кг орехов, а 4-ки 5*60= 300кг орехов

Answer 2

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Answer 3

Problem Analysis

We are given that the students in the 3rd grade collected 3 identical bags of nuts, and the students in the 4th grade collected 5 identical bags of nuts. Additionally, the 4th graders collected 120 kilograms more than the 3rd graders. We need to determine how many kilograms of nuts were collected by each grade.

Solution

Let's assume that the weight of each bag of nuts collected by the 3rd graders is x kilograms. Therefore, the weight of each bag of nuts collected by the 4th graders is also x kilograms.

According to the given information, the 4th graders collected 120 kilograms more than the 3rd graders. This can be expressed as:

5x = 3x + 120

To solve this equation, we can subtract 3x from both sides:

5x - 3x = 120

Simplifying, we get:

2x = 120

Dividing both sides by 2, we find:

x = 60

Therefore, each bag of nuts collected by the 3rd graders weighs 60 kilograms, and each bag of nuts collected by the 4th graders also weighs 60 kilograms.

To find the total weight of nuts collected by each grade, we can multiply the weight of each bag by the number of bags collected.

For the 3rd graders: Total weight collected by 3rd graders = 3 bags * 60 kilograms/bag = 180 kilograms

For the 4th graders: Total weight collected by 4th graders = 5 bags * 60 kilograms/bag = 300 kilograms

Therefore, the 3rd graders collected 180 kilograms of nuts, and the 4th graders collected 300 kilograms of nuts.

Answer

The students in the 3rd grade collected 180 kilograms of nuts, and the students in the 4th grade collected 300 kilograms of nuts.