Question

В автопарке были легковые и грузовые автомашины, причем грузовых в 1,5 раза больше чем легковых. На днях купили 45 новых легковых автомобилей и 12 грузовых отдали фермерам. в результате в автопарке стало на 17 легковых автомобилей больше чем грузовых. Сколько всего автомашин в автопарке?

Answer 1

х легковых машин было

1,5х грузовых машин было

х+45 стало легковых машин

1,5х-12 осталось грузовых машин

х+45-(1,5х-12)=17

0,5х=40

х=80

80*1,5=120

120+80=200 Было автомашин в автопарке

Answer 2

Calculation of the Total Number of Vehicles in the Fleet

To calculate the total number of vehicles in the fleet, we need to determine the initial number of vehicles and the changes that occurred.

Given information: - The number of trucks is 1.5 times greater than the number of cars. - 45 new cars were purchased. - 12 trucks were given to farmers. - There are currently 17 more cars than trucks in the fleet.

Let's denote the initial number of cars as C and the initial number of trucks as T.

From the given information, we can set up the following equations:

Equation 1: T = 1.5C (The number of trucks is 1.5 times greater than the number of cars.)

Equation 2: C + 45 - 12 = T + 17 (The current number of cars plus the newly purchased cars minus the trucks given to farmers is 17 more than the current number of trucks.)

To find the total number of vehicles in the fleet, we need to solve these equations simultaneously.

Let's solve the equations:

Substituting Equation 1 into Equation 2:

C + 45 - 12 = 1.5C + 17

Simplifying the equation:

0.5C = 44

C = 88

Substituting the value of C into Equation 1:

T = 1.5(88)

T = 132

Therefore, the initial number of cars (C) is 88, and the initial number of trucks (T) is 132. The total number of vehicles in the fleet is the sum of the cars and trucks:

Total = C + T = 88 + 132 = 220

So, there are a total of 220 vehicles in the fleet.