Question

Решите задачу 4 класс. В гараже 750 автомобилей. Грузовые автомобили имеют по 6 колес ,а легковые по4 колёса. Сколько и каких автомобилей в гараже если колёс всего 3024.

Answer 1

Х + у = 750
6х + 4 у = 3024

х = 750 - у
6 ( 750 - у) + 4у = 3024
4500 - 6у + 4 у = 3024
1476 = 2у
у = 738
х = 12

738 легковых и 12 грузовиков

Answer 2

Problem Analysis

To solve this problem, we need to determine the number and types of vehicles in the garage given the total number of wheels. We are given that there are 750 vehicles in the garage, with trucks having 6 wheels and cars having 4 wheels. The total number of wheels in the garage is 3024.

Solution

Let's assume the number of trucks in the garage is 't' and the number of cars is 'c'. We can set up the following equations based on the given information:

1. The total number of vehicles in the garage: t + c = 750 2. The total number of wheels in the garage: 6t + 4c = 3024 We can solve these equations simultaneously to find the values of 't' and 'c'.

Solving the Equations

To solve the equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From equation 1, we can express 't' in terms of 'c': t = 750 - c

Substituting this value of 't' into equation 2, we get: 6(750 - c) + 4c = 3024

Simplifying the equation: 4500 - 6c + 4c = 3024

Combining like terms: -2c = 3024 - 4500

Simplifying further: -2c = -1476

Dividing both sides by -2: c = 738

Substituting the value of 'c' back into equation 1, we get: t + 738 = 750

Simplifying the equation: t = 750 - 738

Calculating: t = 12

Answer

Therefore, there are 12 trucks and 738 cars in the garage, given a total of 3024 wheels.