Question

Тракторная бригада вспахала участок земли за три дня. В первый день она вспахала 30% этого участка, что составляет 168 га. Во второй день она вспахала 3/4 того, что в третий день. Сколько гектаров было вспахано во второй и сколько в третий день?Помогите решить задачу пожалуйста!

Answer 1

Если 30%=168 га, тогда найдем всю площадь участка.
30% = 168 га
100% = у
у = 168*100/30 = 560 га

Пусть площадь, вспаханная в 3 день будет равна Х га. Тогда площадь, вспаханная в 2 день будет равна 3/4 Х. Так как общая площадь равна
168 + 3/4Х + Х = 560
7/4Х = 560-168
7Х = (560-168)*4
Х = (560-168)*4/7
Х = 224 Га - в 3 день
3/4Х = 168 га

Answer 2

Problem Analysis

We are given that a tractor brigade plowed a piece of land in three days. On the first day, they plowed 30% of the land, which is equal to 168 hectares. On the second day, they plowed 3/4 of what they plowed on the third day. We need to find out how many hectares were plowed on the second and third days.

Solution

Let's break down the problem step by step:

1. We know that on the first day, the brigade plowed 30% of the land, which is equal to 168 hectares. We can calculate the total area of the land using this information. Let's denote the total area as A.

- 30% of A = 168 hectares

To find A, we can use the following equation:

- 0.3A = 168

Solving for A:

- A = 168 / 0.3 = 560 hectares

So, the total area of the land is 560 hectares.

2. On the second day, the brigade plowed 3/4 of what they plowed on the third day. Let's denote the area plowed on the third day as T.

- Area plowed on the second day = 3/4 * T

3. We need to find the areas plowed on the second and third days. Let's denote the area plowed on the second day as S.

- S + T = 560 hectares (total area of the land)

4. We can substitute the value of S from step 2 into the equation from step 3:

- 3/4 * T + T = 560

Simplifying the equation:

- 7/4 * T = 560

Solving for T:

- T = 560 * 4/7 = 320 hectares

So, the area plowed on the third day is 320 hectares.

5. Now, we can substitute the value of T into the equation from step 3 to find S:

- S + 320 = 560

Solving for S:

- S = 560 - 320 = 240 hectares

So, the area plowed on the second day is 240 hectares.

Answer

The tractor brigade plowed 240 hectares on the second day and 320 hectares on the third day.

Explanation

To solve this problem, we used the given information about the percentage of the land plowed on the first day and the relationship between the areas plowed on the second and third days. By setting up equations and solving for the unknowns, we determined that the brigade plowed 240 hectares on the second day and 320 hectares on the third day.