Question

На одній автостоянці було в 3 рази (-ів) менше машин, ніж на іншій. Коли з другої стоянки на першу перевели 72 автомобілі (-ів), машин на стоянках стало порівну. Скільки машин було на кожній стоянці спочатку? Відповідь: 1. На першій стоянці спочатку було машин (-и). 2. На другій стоянці спочатку було машин (-и).

Answer 1

на первой было х, на второй 3х, согласно условия составляем и решаем уравнение.

х+72=3х-72

2х=2*72

х=72

На первой было 72 машины. второй 3*72=216/машин/

Answer 2

Відповідь:72; 216

Покрокове пояснення:

Було:

1ст. - х

2ст. - 3х

Стало:

1ст. х + 72

2ст. 3х - 72

Рівняння

3х-72=х+72

3х-х=72+72

2х=144

х=72. 1ст.

3х=216. 2ст

Answer 3

Problem Analysis

We are given that there were 3 times fewer cars on one parking lot than on another. After transferring 72 cars from the second parking lot to the first, the number of cars on both parking lots became equal. We need to find the initial number of cars on each parking lot.

Solution

Let's assume that the initial number of cars on the first parking lot is x and the initial number of cars on the second parking lot is y.

According to the given information, we can set up the following equations:

1. The number of cars on the first parking lot is 3 times less than the number of cars on the second parking lot: x = y/3.

2. After transferring 72 cars from the second parking lot to the first, the number of cars on both parking lots became equal: x + 72 = y - 72.

To solve this system of equations, we can substitute the value of x from the first equation into the second equation:

y/3 + 72 = y - 72.

Now, let's solve this equation to find the value of y:

y/3 + 72 = y - 72.

Multiplying both sides of the equation by 3 to eliminate the fraction:

y + 216 = 3y - 216.

Simplifying the equation:

2y = 432.

Dividing both sides of the equation by 2:

y = 216.

Now that we have the value of y, we can substitute it back into the first equation to find the value of x:

x = 216/3 = 72.

Therefore, the initial number of cars on the first parking lot was 72, and the initial number of cars on the second parking lot was 216.

Answer

The initial number of cars on each parking lot was: 1. On the first parking lot: 72 cars. 2. On the second parking lot: 216 cars.