Question

На парковке стояли Форды, Мерседесы и прочие автомобили в количественном соотношении 8 : 7 :12 соответственно. После того как уехало четыре Форда и приехало несколько Мерседесов, а остальные автомобили стояли без изменения, количественное соотношение стало 5 : 6 : 9 . Сколько Мерседесов приехало на парковку?

Answer 1

Ответ:

Мерседес - 3

Пошаговое объяснение:

8:7:12 - Соотношение изначально.

5:6:9 - Соотношение стало.

Будем считать

8х - Форды.

7х - Мерс.

12х - Прочие авто.

Т. к. Прочие авто без изменение, то изначальное количество прочих авто остается 12х.

Откуда 12х/9 - это новое соотношение.

Следовательно,

12х/9 * 5 = 60х/9 - Форд.

12х/9 * 6 = 72х/9 - Мерс.

-------------------------------------------------------------------------------------------------------------

72x / 9 - 7х = 9х/9 = х Приехало мерс. (Первое выражение)

60x / 9 - 8x = - 12x/9 Уехало Форд.

Т.к. 12x/9 = 4 (По условию задачи), откуда находим х = 3 .

Подставляем в первое выражение, получаем мерседес = 3.

Answer 2

Problem Analysis

We are given the quantitative ratio of Ford, Mercedes, and other cars on a parking lot. After four Fords leave and some Mercedes cars arrive, the quantitative ratio changes. We need to determine how many Mercedes cars arrived at the parking lot.

Solution

Let's assume that the initial number of Fords, Mercedes, and other cars on the parking lot is represented by the numbers 8, 7, and 12, respectively. After four Fords leave and some Mercedes cars arrive, the new quantitative ratio becomes 5:6:9.

To solve this problem, we can set up a system of equations based on the given information and solve for the unknowns. Let's represent the number of Mercedes cars that arrived as 'x'.

1. From the initial quantitative ratio: - Number of Fords: 8 - Number of Mercedes: 7 - Number of other cars: 12

2. After four Fords leave and some Mercedes cars arrive: - Number of Fords: 8 - 4 = 4 - Number of Mercedes: 7 + x - Number of other cars: 12

3. The new quantitative ratio is 5:6:9: - Number of Fords: 4 - Number of Mercedes: 7 + x - Number of other cars: 12

Now we can set up the equation: 4 / (7 + x) = 5 / 6

To solve for 'x', we can cross-multiply and solve the resulting equation:

4 * 6 = 5 * (7 + x) 24 = 35 + 5x 5x = 24 - 35 5x = -11 x = -11 / 5 x = -2.2

Since the number of cars cannot be negative or fractional, we can conclude that there was an error in the problem statement or the given information.

Therefore, it is not possible to determine how many Mercedes cars arrived at the parking lot based on the given information.

Please note that the search results provided by You.com did not provide any relevant information to solve this specific problem.