Question

В автопарку вантажівок було у 5 разів більше, ніж легкових автомобілів. Після того як у рейс вийшдо 58 вантажівок і 15 легкових автомобілів, в автопарку залишилося вантажних автомобілів на 61 більше, ніж легкових. Скільки легкових і скільки вантажних автомобілів було в автопарку спочатку?

Answer 1

Пусть число легковых машин было х тогда грузовых было 5х
5х-58- осталось грузовых
х-15 - легковых
5х-58-61=х-15
4х=58+61-15
4х=104 х=26 5х=130
ответ 130 машин
х - грузовых машин
у - легковых
х=5у
х-58=у-15+61
х-58=у+46
5у-58=у+46
5у-у=46+58
4у=104
у=26
х=26*5=130
Ответ: 130 машин было в автопарке

Answer 2

Problem Analysis

We are given that in a fleet of trucks, there were 5 times more trucks than cars. After 58 trucks and 15 cars went on a trip, there were 61 more trucks than cars left in the fleet. We need to determine the initial number of cars and trucks in the fleet.

Solution

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

From the given information, we can form two equations:

1. There were 5 times more trucks than cars in the fleet initially: T = 5C.

2. After 58 trucks and 15 cars went on a trip, there were 61 more trucks than cars left in the fleet: (T - 58) - (C - 15) = 61.

We can solve these equations simultaneously to find the values of C and T.

Substituting the value of T from equation 1 into equation 2, we get:

(5C - 58) - (C - 15) = 61.

Simplifying the equation:

5C - 58 - C + 15 = 61.

Combining like terms:

4C - 43 = 61.

Adding 43 to both sides:

4C = 104.

Dividing both sides by 4:

C = 26.

Substituting the value of C back into equation 1, we get:

T = 5(26) = 130.

Therefore, there were initially 26 cars and 130 trucks in the fleet.

Answer

There were initially 26 cars and 130 trucks in the fleet.