Question

В совхозе 4/9 всей земли занимают луга, а 1/3 - посевы. Какова площадь всей земли в совхозе, если луга занимают на 270 га больше, чем посевы

Answer 1

Ответ:

На сколько луга занимают больше, чем посев в долевом выражении?

$\frac{4}{9}$-$\frac{1}{3}$=$\frac{4}{9}$-$\frac{3}{9}$=$\frac{1}{9}$

$\frac{1}{9}$ всей земли равна 270 га.

270:($\frac{1}{9}$)=2430 га

Ответ:  2430 га площадь всей земли в совхозе

Answer 2

Calculation of the Total Area of the Farm

To calculate the total area of the farm, we need to determine the areas occupied by pastures and crops separately.

Let's assume that the total area of the farm is represented by x.

According to the given information: - 4/9 of the total area is occupied by pastures (luga). - 1/3 of the total area is occupied by crops (posevy). - The pastures occupy 270 hectares more than the crops.

Based on these conditions, we can set up the following equation:

(4/9)x - (1/3)x = 270

To solve this equation, we need to find a common denominator for the fractions:

(12/27)x - (9/27)x = 270

Simplifying the equation:

(3/27)x = 270

Now, we can solve for x:

x = (270 * 27) / 3

Calculating the value of x:

x = 2700 hectares

Therefore, the total area of the farm is 2700 hectares.