Question

На одной автостоянке было в 3 раза меньше машин, чем на второй. После того как на первую стоянку приехали 18 автомашин, а со второй уехали 10 машин, на обеих стоянках стало поровну. Сколько автомашин было на каждой стоянке первоначально?

Answer 1

Пусть х машин было на первой автостоянке, тогда 3х на второй автостоянке 
3х-10=х+183х-х=10+182х=28х=14(м)-было на первой автостоянке первоначально
Теперь мы узнаём сколько было машин на второй автостоянке первоначально 
1)14*3=42 машины   было на второй стоянке первоначально

Answer 2

Problem Analysis

We are given two parking lots, and the number of cars on the first parking lot is three times less than the number of cars on the second parking lot. After 18 cars arrive at the first parking lot and 10 cars leave the second parking lot, the number of cars becomes equal on both parking lots. We need to determine the initial number of cars on each parking lot.

Solution

Let's assume the initial number of cars on the second parking lot is x. According to the problem, the number of cars on the first parking lot is three times less than the number of cars on the second parking lot, so the initial number of cars on the first parking lot is x/3.

After 18 cars arrive at the first parking lot, the number of cars on the first parking lot becomes x/3 + 18, and the number of cars on the second parking lot remains x.

After 10 cars leave the second parking lot, the number of cars on the second parking lot becomes x - 10, and the number of cars on the first parking lot remains x/3 + 18.

According to the problem, the number of cars becomes equal on both parking lots, so we can set up the following equation:

x/3 + 18 = x - 10

To solve this equation, we can start by multiplying both sides by 3 to eliminate the fraction:

x + 54 = 3x - 30

Next, we can subtract x from both sides:

54 = 2x - 30

Then, we can add 30 to both sides:

84 = 2x

Finally, we can divide both sides by 2 to solve for x:

x = 42

Therefore, the initial number of cars on the second parking lot is 42, and the initial number of cars on the first parking lot is three times less, which is 42/3 = 14.

Answer

The initial number of cars on the first parking lot was 14, and the initial number of cars on the second parking lot was 42.