Question

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

Answer 1

Схема, решение, ответ.

Answer 2

Calculating the Total Number of Cars in the Fleet

To solve this problem, we'll follow these steps:

1. Calculate the initial ratio of trucks to cars in the fleet. 2. Determine the number of cars and trucks in the initial fleet. 3. Calculate the new ratio of trucks to cars after the changes. 4. Use the new ratio to find the total number of cars and trucks in the fleet after the changes.

Let's start by calculating the initial ratio of trucks to cars in the fleet.

Initial Ratio of Trucks to Cars

The problem states that there were 1.5 times more trucks than cars in the initial fleet.

Calculating the Number of Cars and Trucks in the Initial Fleet

Let's assume the number of cars in the initial fleet is C and the number of trucks is T.

According to the given information, we have the equation: T = 1.5C

Changes to the Fleet

After receiving 45 additional cars and transferring 12 trucks to the collective farm, the number of cars exceeded the number of trucks by 17.

New Ratio of Trucks to Cars

The new ratio of trucks to cars can be expressed as: T - 12 = (C + 45) + 17

Solving for the Total Number of Cars and Trucks

We can solve the system of equations to find the total number of cars and trucks in the fleet after the changes.

Let's proceed with the calculations.