Question

В автопарке было в 1,5 раза больше грузовых машин, чем легковых. После того как автопарк получил еще 45 легковых автомашин, а 12 грузовых машин передал фермерам, в нем стало легковых машин на 17 больше, чем грузовых. Сколько всего автомашин было в автопарке?

Answer 1

Пусть легковых машин машин было х

Тогда грузовых 1,5 х

После того как получили 45 легковых и отдали 12 грузовых стало

Легковых х+45

Грузовых 1,5х-12    Разница в 17 машин

 

х+45-1,5х-12=17

-0,5х+33=17

-0,5х=-16

х=32 - лешковых машин

1,5·32=48 - грузовых машин

48+32=80 - машин всего

Ответ: 80 автомашин всего было автопарке.

Answer 2

Problem Analysis

We are given that in a fleet of vehicles, there were 1.5 times more trucks than cars. After receiving 45 additional cars and transferring 12 trucks to farmers, the number of cars became 17 more than the number of trucks. We need to determine the total number of vehicles in the fleet.

Solution

Let's assume the initial number of trucks in the fleet is x. According to the given information, the number of cars in the fleet is 1.5 times the number of trucks, which means there are 1.5x cars initially.

After receiving 45 additional cars, the number of cars becomes 1.5x + 45. Similarly, after transferring 12 trucks to farmers, the number of trucks becomes x - 12.

According to the problem, the number of cars is now 17 more than the number of trucks. So we can write the equation:

1.5x + 45 = x - 12 + 17

Simplifying the equation:

1.5x + 45 = x + 5

Subtracting x from both sides:

0.5x + 45 = 5

Subtracting 45 from both sides:

0.5x = -40

Dividing both sides by 0.5:

x = -80

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

Unfortunately, we cannot determine the total number of vehicles in the fleet based on the given information.

If you have any further questions, please let me know.