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 18,8 т меньше,чем с первого.какова площадь первого поля?

Answer 1

площадь 1 поля - х га

площадь 2 поля - 100-х

18,8 т =188 ц

12х=10*(100-х)+188

12х=1000-10х+188

12х+10х=1188

22х=1188

х=54 (га) - площадь 1 поля

Answer 2

пусть х - площадь первого поля 

тогда 100-х - площадь второго поля 

переведем 18,8т в центнеры для удобства вычисления 188ц

составляем уравнение

12х = 10 х (100 - х) + 188 - решаем

12х = 1000 -10х + 188 переносим, не забываем про противоположные знаки

12х + 10х = 1188

22х = 1188

х = 1188 : 22

х = 54 гектара это площадь первого поля

 

Ответ: 54 гектара это площадь первого поля

Answer 3

Calculation of the Area of the First Field

To calculate the area of the first field, we can use the information provided about the total area of the two fields and the yield per hectare for each field.

Let's assume the area of the first field is represented by x hectares. Since the total area of the two fields is 100 hectares, we can express the area of the second field as (100 - x) hectares.

According to the given information, the yield per hectare for the first field is 12 centners (or metric tons), and the yield per hectare for the second field is 10 centners (or metric tons). Additionally, the yield from the second field is 18.8 metric tons less than the yield from the first field.

To calculate the yield from each field, we can multiply the yield per hectare by the respective area:

- Yield from the first field: 12x centners - Yield from the second field: 10(100 - x) centners

According to the information provided, the yield from the second field is 18.8 metric tons less than the yield from the first field. This can be expressed as the equation:

12x - 10(100 - x) = 18.8

Simplifying the equation:

12x - 1000 + 10x = 18.8

22x - 1000 = 18.8

22x = 1018.8

x ≈ 46.31

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

Please note that the given information does not specify the units for the yield (centners or metric tons). I have assumed centners based on the available information.