Question

154. На двух полях посеяли пшеницу. На первом поле было собра- но по 40 центнеров с гектара, на втором по 37 центнеров с гектара.Определите площадь каждого поля, зная, что всего было засеяно 180гектаровис них собрано 7140 центнеров пшеницы.​

Answer 1

Ответ:

160 га  площадь первого поля

20 га  площадь второго поля

Пошаговое объяснение:

Пусть х гектаров было засеяно пшеницей на первом поле.

Тогда (180-х) гектаров было засеяно на втором поле.

На первом поле было собрано по 40 центнеров с гектара, на втором по 37 центнеров с гектара.

Всего с двух полей собрано 7140 центнеров пшеницы.

Составим уравнение:

40х + 37(180-х ) = 7140

40х + 6660 -37х = 7140

3х = 480

х = 480 : 3

х = 160 (га)  площадь первого поля

180 - 160 = 20 (га)  площадь второго поля

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40*160 + 37*20 = 6400 + 740 = 7 140 центнеров пшеницы собрали с двух полей

Answer 2

Calculation of Field Areas

To determine the area of each field, we can use the information provided about the yield per hectare and the total yield of wheat.

Let's assume the area of the first field is x hectares and the area of the second field is y hectares.

According to the given information: - The yield on the first field was 40 centners per hectare. - The yield on the second field was 37 centners per hectare. - The total yield from both fields was 7140 centners of wheat. - The total area of both fields was 180 hectares.

Based on these facts, we can set up the following equations:

Equation 1: x * 40 + y * 37 = 7140 (total yield equation) Equation 2: x + y = 180 (total area 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 various methods such as substitution, elimination, or matrix methods. Let's use the substitution method in this case.

From Equation 2, we can express x in terms of y: x = 180 - y

Substituting this value of x into Equation 1, we get: (180 - y) * 40 + y * 37 = 7140

Simplifying the equation: 7200 - 40y + 37y = 7140 -3y = -60 y = 20

Substituting the value of y back into Equation 2, we can find x: x + 20 = 180 x = 160

Therefore, the area of the first field is 160 hectares and the area of the second field is 20 hectares.

Please note that the calculations are based on the given information and assumptions made.