Question

На одній автостоянці було в 4 рази (-ів) менше машин, ніж на іншій. Коли з другої стоянки на першу перевели 24 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

Ответ:

Пошаговое объяснение:

Нехай на першій стоянці було- х авто, тоді на другій- 4х.

Складемо рівняння:

Х+24= 4х-24

Х-4х= -24-24

-3х=-48

Х= 16 авто- було на першій стоянці спочатку

16*4= 64 авто- було на другій стоянці спочатку

Відповідь: 1. На першій стоянці спочатку було 16 машин

2. На другій стоянці спочатку було 64 машини

Answer 2

Problem Analysis

We are given that there were 4 times fewer cars on one parking lot than on another. After transferring 24 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 problem, the number of cars on the first parking lot was 4 times less than the number of cars on the second parking lot. This can be expressed as:

x = y/4 ---(Equation 1)

After transferring 24 cars from the second parking lot to the first, the number of cars on both parking lots became equal. This can be expressed as:

x + 24 = y - 24 ---(Equation 2)

To solve this system of equations, we can substitute the value of x from Equation 1 into Equation 2 and solve for y.

Substituting x = y/4 into Equation 2, we get:

(y/4) + 24 = y - 24

Simplifying the equation:

y/4 + 24 = y - 24

Multiplying both sides of the equation by 4 to eliminate the fraction:

y + 96 = 4y - 96

Bringing all the terms involving y to one side of the equation:

**4