Question

На одной автостоянке было в 3 раз(-а) меньше машин, чем на другой. Когда со второй стоянки на первую перевели 48 автомобилей(-я), машин на стоянках стало поровну. Какое количество машин было на каждой стоянке первоначально?

Answer 1

Решение на фотографии.
Ответ: 48 машин , 144 машин

Answer 2

Problem Analysis

We are given two parking lots, and the number of cars in one lot is three times less than the number of cars in the other lot. After transferring 48 cars from the second lot to the first lot, the number of cars becomes equal in both lots. We need to determine the initial number of cars in each parking lot.

Solution

Let's assume the initial number of cars in the first parking lot is x. Since the number of cars in the second parking lot is three times more, the initial number of cars in the second parking lot is 3x.

After transferring 48 cars from the second lot to the first lot, the number of cars becomes equal in both lots. This means that the first lot now has x + 48 cars, and the second lot has 3x - 48 cars.

Since the number of cars is now equal in both lots, we can set up the following equation:

x + 48 = 3x - 48

Simplifying the equation, we get:

2x = 96

Dividing both sides of the equation by 2, we find:

x = 48

Therefore, the initial number of cars in the first parking lot was 48, and the initial number of cars in the second parking lot was 3 times that, which is 144.

Answer

The initial number of cars in each parking lot was: - First parking lot: 48 cars - Second parking lot: 144 cars