Question

Площадь трех участков земли равна 60 га. Площадь первого участка составляет 25% суммы площадей всех трех участков, а площади второго и третьего участков относятся как 4:5. Какова площадь каждого из участков?Можете составить систему уравнений?

Answer 1

Х=5

0.6 га-1%

получаем 4х+5х=45

так как площади второго и третьего участка относятся как 4:5, то ⇒ мы имеем 9 частей, значит одна часть равна 45/9=5 ⇒

60 - 100%

4*5=20га второй участок

4х=20га-2 участок

60-15=45 га второй и третий участки

х - 25%

представим 1 часть как х

60-15=45-1 и 2 участки

х=60*25/100=15га первый участок

5*5=25га третий участок

0.6га*25%=15га-1 участок

9х=45

5х=25га-3 участок

Answer 2

Problem Analysis

We are given three plots of land with a total area of 60 hectares. The area of the first plot is 25% of the sum of the areas of all three plots. The areas of the second and third plots are in a ratio of 4:5. We need to find the area of each plot.

Solution

Let's denote the areas of the three plots as A, B, and C, respectively.

From the given information, we can write the following equations:

1. The area of the first plot is 25% of the sum of the areas of all three plots: - A = 0.25(A + B + C) 2. The areas of the second and third plots are in a ratio of 4:5: - B/C = 4/5

We have two equations with two unknowns. Let's solve them to find the areas of the three plots.

Solving the Equations

To solve the equations, we can use substitution or elimination. Let's use substitution.

From equation 2, we can rewrite it as B = (4/5)C.

Substituting this value of B in equation 1, we get: A = 0.25(A + (4/5)C + C) A = 0.25(A + (9/5)C) A = (1/4)(A + (9/5)C) 4A = A + (9/5)C 4A - A = (9/5)C 3A = (9/5)C A = (9/5)C/3 A = (3/5)C

Now, we can substitute this value of A in equation 1: (3/5)C = 0.25((3/5)C + (4/5)C + C) (3/5)C = 0.25((3/5)C + (9/5)C) (3/5)C = (3/5)C + (9/5)C (3/5)C - (3/5)C = (9/5)C 0 = (9/5)C C = 0

From this, we can see that the area of the third plot (C) is 0. This means that the second and third plots have no area.

Now, let's find the area of the first plot (A) using the equation A = (3/5)C: A = (3/5) * 0 A = 0

From this, we can see that the area of the first plot (A) is also 0.

Therefore, the areas of all three plots are 0 hectares.

Answer

The area of each of the three plots is 0 hectares.