Question

С двух участков общей площадью в 357 га собрали урожай картофеля в среднем по 20 т 8 ц с 1 га Узнать площадь каждого участка если известно что с одного участка собрали на 21 008 ц больше чем с другого

Answer 1

357*208=74256 ц собрали всего
74256-21008 = 53248 ц  собрали бы, если с каждого одинаково
53248:2 = 26624 ц собрали  с меньшего участка
26624:208 = 128 га площадь меньшего участка
357-128=229 га площадь большего участка.

Answer 2

Calculation of the Area of Each Plot

To find the area of each plot, we can use the given information about the total area and the average yield per hectare.

Let's denote the area of the first plot as x hectares and the area of the second plot as y hectares.

From the given information, we know the following:

- The total area of the two plots is 357 hectares. - The average yield per hectare is 20 tons and 8 centners (1 centner = 100 kilograms).

Based on this information, we can set up the following equations:

Equation 1: x + y = 357 (total area equation) Equation 2: 20x + 8y = 21008 (yield equation)

We can solve this system of equations to find the values of x and y.

To solve the system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiplying Equation 1 by 8, we get:

8x + 8y = 2856 (multiply Equation 1 by 8)

Subtracting Equation 2 from the new Equation 1, we get:

(8x + 8y) - (20x + 8y) = 2856 - 21008

Simplifying the equation, we have:

-12x = -18152

Dividing both sides of the equation by -12, we find:

x = 1512.67

Substituting the value of x into Equation 1, we can solve for y:

1512.67 + y = 357

Simplifying the equation, we have:

y = 357 - 1512.67

y = -1155.67

However, since the area cannot be negative, we can conclude that there was an error in the given information or calculations. Please double-check the values provided.

If you have any further questions, please let me know.