Question

В первый год в кретьянском хозяйстве с двух полей собрали 560т зерна.Во второй год с первого поля собрали на 15% зерна больше,а со второго поляна 10% зерна больше,чем в первый год.С двух полей собрали всего 632 т зерна.Сколько тонн зерна собрали с каждого поля в первый год?

Answer 1

Х и у зерна собрали с 1-го и 2-го поля в первый год

х+у=560
1,15х+1,1у=632

умножим первое уравнение на 1,1 и вычтем из второго уравнения первое

1,1х+1,1у=616   0,05х=16   х=320    у=560-320=240

Ответ: 320 и 240 т зерна собрали в первый год

Answer 2

Solution:

Let's solve this step by step.

1. Let's denote the amount of grain collected from the first field in the first year as x and from the second field as y.

2. In the first year, the total amount of grain collected from both fields is 560 tons: - So, we have the equation: x + y = 560.

3. In the second year, the amount of grain collected from the first field increased by 15% and from the second field increased by 10% compared to the first year. - The total amount of grain collected from both fields in the second year is 632 tons: - So, we have the equation: 1.15x + 1.10y = 632.

4. We now have a system of two equations: - x + y = 560 - 1.15x + 1.10y = 632

5. Solving this system of equations will give us the amount of grain collected from each field in the first year.

Calculation:

Let's solve the system of equations to find the values of x and y.

Using the substitution method: - From the first equation, we get: x = 560 - y - Substituting this value of x into the second equation: 1.15(560 - y) + 1.10y = 632 - Simplifying the equation gives us: 644 - 1.15y + 1.10y = 632 - Combining like terms: 644 - 0.05y = 632 - Solving for y: -0.05y = 632 - 644 - -0.05y = -12 - y = -12 / -0.05 - y = 240

Now that we have the value of y, we can find the value of x: - x = 560 - 240 - x = 320

Answer:

So, in the first year, 320 tons of grain were collected from the first field, and 240 tons of grain were collected from the second field.

Therefore, the amount of grain collected from each field in the first year was 320 tons and 240 tons respectively.