Question

Площадь двух полей,засеянных пшеницей,равна 100га.Урожайность первого поля составила 12ц с гектара,а урожайность второго-10ц с гектара.Со второго поля собрали урожая на 18,8т меньше,чем с первого.Какова площадь первого поля?Решите задачу,составив уравнение.Памагите!!!!!!!!!Срочно!!!!!

Answer 1

Пусть х га 1 поле
12 х ц собрали с 1 поля
100-х га 2 поле
10(100-х) ц собрали со 2 поля
18,8 т = 188 ц 
12 х-10(100-х)=188
12 х - 1000 + 10 х = 188
22 х = 1188
 х= 54 га площадь 1 поля
100-54=46 га площадь 2 поля 

Answer 2

Problem Analysis

We are given the following information: - The total area of two fields sown with wheat is 100 hectares. - The yield of the first field is 12 tons per hectare. - The yield of the second field is 10 tons per hectare. - The yield from the second field is 18.8 tons less than the yield from the first field.

We need to find the area of the first field.

Mathematical Formulation

Let's assume the area of the first field is x hectares. Then, the area of the second field would be (100 - x) hectares.

The yield from the first field would be 12x tons, and the yield from the second field would be 10(100 - x) tons.

According to the problem, the yield from the second field is 18.8 tons less than the yield from the first field. So, we can set up the following equation:

12x - 18.8 = 10(100 - x)

Now, let's solve this equation to find the value of x, which represents the area of the first field.

Solution

To solve the equation, let's simplify and solve for x:

12x - 18.8 = 1000 - 10x

Combining like terms:

22x - 18.8 = 1000

Adding 18.8 to both sides:

22x = 1018.8

Dividing both sides by 22:

x = 1018.8 / 22

Calculating the value of x:

x ≈ 46.31

Therefore, the area of the first field is approximately 46.31 hectares.

Answer

The area of the first field, sown with wheat, is approximately 46.31 hectares.