Question

10) Реши задачу. На двух участках общей площадью 100 м2 весной высадили рассаду помидоров. На каждом квадратном метре высажива- ли одинаковое число кустиков. На одном ПРИДУМАЙ участке - 140 кустиков, а на втором - 260. — Найди площадь каждого участка. помогите плс ​

Answer 1

Ответ:

1) 260+140=400 (кустов)

2) 400:100=4м² (площадь)

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given two plots with a total area of 100 m² where tomato seedlings were planted in the spring. The number of tomato plants per square meter is the same on both plots. On one plot, there are 140 plants, and on the other plot, there are 260 plants. We need to find the area of each plot.

Solution

Let's assume the area of the first plot is x m². Since the number of plants per square meter is the same on both plots, we can set up the following equation:

x * (number of plants per square meter) = number of plants on the first plot

Using the given information, we can write the equation as:

x * (number of plants per square meter) = 140

Similarly, for the second plot, let's assume the area is y m². We can set up the equation:

y * (number of plants per square meter) = number of plants on the second plot

Using the given information, we can write the equation as:

y * (number of plants per square meter) = 260

We know that the total area of both plots is 100 m². Therefore, we can write another equation:

x + y = 100

Now we have a system of equations that we can solve to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can use the substitution method. We can solve one equation for one variable and substitute it into the other equation.

From the equation x * (number of plants per square meter) = 140, we can solve for x:

x = 140 / (number of plants per square meter)

Similarly, from the equation y * (number of plants per square meter) = 260, we can solve for y:

y = 260 / (number of plants per square meter)

Now we can substitute these values into the equation x + y = 100:

(140 / (number of plants per square meter)) + (260 / (number of plants per square meter)) = 100

Simplifying the equation:

(140 + 260) / (number of plants per square meter) = 100

400 / (number of plants per square meter) = 100

Solving for the number of plants per square meter:

number of plants per square meter = 400 / 100 = 4

Now we can substitute this value back into the equations for x and y:

x = 140 / 4 = 35

y = 260 / 4 = 65

Therefore, the area of the first plot is 35 m² and the area of the second plot is 65 m².

Answer

The area of each plot is as follows: - The first plot has an area of 35 m². - The second plot has an area of 65 m².

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