Question

Возле карьера стояло в 5 paз меньше самосвалов, чем в автопарке. Из автопарка к карьеру перегнали 72 самосвалов (- a) , после этого количество машин стало одинаковым. Сколько самосвалов было в автопарке и сколько было возле карьера?​

Answer 1

Ответ:

Пошаговое объяснение:

У карьера = х машин

В автопарке = 5х машин

х + 72 = 5х - 72

х - 5х = -72 - 72

-4х = -144

х = -144 : (-4)

х = 36

У карьера = (х) = 36 машин

В автопарке = (5х) = 5 * 36 = 180 машин

36 + 72 = 180 - 72

108 = 108

Answer 2

Ответ:

Пошаговое объяснение:

карьер - х машин

Автопарк - 5х машин

х+72=5х-72

х-5х=-72-72

-4х=-144

х=- 144÷(-4)

х=36 машин в карьере

36×5=180 машин в автопарке

Answer 3

Problem Analysis

We are given the information that there were 5 times fewer dump trucks near the quarry than in the fleet. After transferring 72 dump trucks from the fleet to the quarry, the number of trucks became equal. We need to determine the initial number of dump trucks in the fleet and near the quarry.

Solution

Let's assume the initial number of dump trucks in the fleet is x. According to the problem, there were 5 times fewer dump trucks near the quarry than in the fleet. Therefore, the initial number of dump trucks near the quarry can be expressed as x/5.

After transferring 72 dump trucks from the fleet to the quarry, the number of trucks became equal. This means that the number of dump trucks in the fleet decreased by 72, resulting in x - 72, and the number of dump trucks near the quarry increased by 72, resulting in (x/5) + 72.

Since the number of dump trucks near the quarry became equal to the number of dump trucks in the fleet, we can set up the following equation:

(x/5) + 72 = x - 72

To solve this equation, we can multiply both sides by 5 to eliminate the fraction:

x + 360 = 5x - 360

Next, we can simplify the equation:

360 + 360 = 5x - x

720 = 4x

Finally, we can solve for x by dividing both sides by 4:

x = 720 / 4 = 180

Therefore, the initial number of dump trucks in the fleet was 180, and the initial number of dump trucks near the quarry was 180/5 = 36.

Answer

The initial number of dump trucks in the fleet was 180, and the initial number of dump trucks near the quarry was 36.