Question

На первой стоянке автомобилей в 2,5 раза больше, чем на второй. После того, как 15 автомобилей переехали с первой стоянки на вторую, на второй стоянке автомобилей стало на 3 больше, чем на первой. Сколько автомобилей было первоначально на каждой стоянке?

Answer 1

X---------машин было на второй стоянке
2,5x-----------машин было на первой стоянке
2,5x-15-------машин стало на первой стоянке
x+15-------машин стало на второй стоянке
2,5x-15+3=x+15
2,5x-x=15+15-3
1,5x=27
x=27:1,5
x=18 машин было на второй стоянке
18*2,5=45 машин было на первой стоянке

Answer 2

Problem Analysis

We are given information about two car parking lots. The number of cars on the first parking lot is 2.5 times greater than the number of cars on the second parking lot. After 15 cars move from the first parking lot to the second parking lot, the number of cars on the second parking lot becomes 3 more than the number of cars on the first parking lot. We need to determine the initial number of cars on each parking lot.

Solution

Let's assume the number of cars on the second parking lot is x. According to the given information, the number of cars on the first parking lot is 2.5 times greater than x. Therefore, the number of cars on the first parking lot is 2.5x.

After 15 cars move from the first parking lot to the second parking lot, the number of cars on the second parking lot becomes 3 more than the number of cars on the first parking lot. This can be expressed as:

x + 15 = 2.5x + 3

To solve this equation, we can subtract x from both sides and subtract 3 from both sides:

15 - 3 = 2.5x - x

Simplifying further:

12 = 1.5x

Dividing both sides by 1.5:

x = 8

Therefore, the initial number of cars on the second parking lot was 8. Since the number of cars on the first parking lot is 2.5 times greater, the initial number of cars on the first parking lot was:

2.5 * 8 = 20

So, there were initially 20 cars on the first parking lot and 8 cars on the second parking lot.

Answer

The initial number of cars on the first parking lot was 20, and the initial number of cars on the second parking lot was 8.