Question

Количество пассажирского транспорта города в первый год увеличилось на 10%.Во второй год по сравнению с первым это количсевто увеличилось еще на 20 %.В третий год по сравнению со вторым увеличилось еще на 25% и стало 19 800.Сколько пассажирского транспорта было в городе первоночально? 

Answer 1

Calculation of Initial Passenger Transport in the City

To calculate the initial passenger transport in the city, we can work backwards from the given information.

Let's assume the initial passenger transport in the city is represented by the variable "x".

According to the information provided: - In the first year, the passenger transport increased by 10%. This means the passenger transport in the second year was 110% of the initial amount: 1.1x. - In the second year, the passenger transport increased by an additional 20%. This means the passenger transport in the third year was 120% of the second year's amount: 1.2 * 1.1x. - In the third year, the passenger transport increased by 25% and reached a total of 19,800. This can be represented as 125% of the third year's amount: 1.25 * 1.2 * 1.1x = 19,800.

To find the initial passenger transport in the city, we can solve the equation:

1.25 * 1.2 * 1.1x = 19,800

Simplifying the equation:

1.65x = 19,800

Dividing both sides of the equation by 1.65:

x = 19,800 / 1.65

Evaluating the expression:

x ≈ 12,000

Therefore, the initial passenger transport in the city was approximately 12,000.