Question

В гараже стоят 750 автомобилей. Грузовые имеют по 6 колес, а легковые по 4. Сколько каких автомобилей стоит в гараже , если колёс всего 3024?

Answer 1

В гараже стоят 12грузовых и 738 легковых

Answer 2

Calculation of the Number of Cars in the Garage

To determine the number of cars in the garage, we need to solve a system of equations based on the given information.

Let's assume the number of trucks in the garage is represented by T, and the number of passenger cars is represented by P.

According to the given information: - Trucks have 6 wheels each. - Passenger cars have 4 wheels each. - The total number of wheels in the garage is 3024. - There are 750 cars in total.

Based on these facts, we can set up the following equations:

1. The total number of wheels equation: 6T + 4P = 3024. 2. The total number of cars equation: T + P = 750.

To solve this system of equations, we can use substitution or elimination methods.

Let's use the elimination method to solve the equations:

Multiplying the second equation by 4, we get: 4T + 4P = 3000.

Subtracting this equation from the first equation, we have: (6T + 4P) - (4T + 4P) = 3024 - 3000.

Simplifying, we get: 2T = 24.

Dividing both sides of the equation by 2, we find: T = 12.

Substituting this value back into the second equation, we can solve for P: 12 + P = 750.

Simplifying, we get: P = 738.

Therefore, there are 12 trucks and 738 passenger cars in the garage.

Answer:

In the garage, there are 12 trucks and 738 passenger cars if there are a total of 750 cars and 3024 wheels.

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