Question

С трех лугов собрали 19,7т сена. С первого и второго лугов собрали сена поровну, а с третьего собрали на 1,1т больше, чем с каждого из первых двух. сколько сена собрали с каждого луга? Реши задачу с помощью уравнения. Пожалуйста помогите!

Answer 1

1 и 2 луг - х

3 луг (х+1,1)

х+х+х+1,1=19,7

3х+1,1=19,7

3х=18,6

х=6,2

с 1 и 2 луга собрали 6,2 т сена

с 3 - 6,2+1,1=7,3 т сена

 

Выбираем лучшее решение!

Answer 2

Пусть х т - собрали с каждого первого и второго луга

х+1,1 т собрали с третьего луга

Составим выражение:

х+х+х+1,1=19,7

3х=19,7-1,1

3х=18,6

х=18,6:3

х=6,2 - собрали с каждого первого и второго луга

 

6,2+1,1=7,3 т - собрали с третьего луга

 

Ответ: 6,2 т  собрали с 1-го луга, 6,2 т  собрали со 2-го луга, 7,3 т собрали с третьего лу

Answer 3

Problem Analysis

We are given that 19.7 tons of hay were collected from three meadows. The hay collected from the first and second meadows is equal, while the hay collected from the third meadow is 1.1 tons more than the hay collected from each of the first two meadows. We need to find out how much hay was collected from each meadow.

Solution

Let's assume that the amount of hay collected from each of the first two meadows is x tons. Then, the amount of hay collected from the third meadow would be x + 1.1 tons.

According to the problem, the total amount of hay collected from all three meadows is 19.7 tons. We can write this as an equation:

x + x + (x + 1.1) = 19.7

Simplifying the equation, we get:

3x + 1.1 = 19.7

Now, we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

3x + 1.1 = 19.7

Subtracting 1.1 from both sides:

3x = 18.6

Dividing both sides by 3:

x = 6.2

Answer

Therefore, the amount of hay collected from each of the first two meadows is 6.2 tons, and the amount of hay collected from the third meadow is 7.3 tons.

Verification

To verify our answer, let's substitute the values back into the equation:

6.2 + 6.2 + (6.2 + 1.1) = 19.7

Simplifying the equation:

12.4 + 7.3 = 19.7

19.7 = 19.7

The equation is true, which means our answer is correct.

Conclusion

The amount of hay collected from each meadow is as follows: - First meadow: 6.2 tons - Second meadow: 6.2 tons - Third meadow: 7.3 tons