Question

Ребята помогите!!! На автостоянке в 10 часов осталось 13 автомобилей;грузовых и легковых.Сколько грузовых и легковых автомобилей осталось на автостоянке,если всего колёс у машин 60?(у грузовых автомобилей 6 колёс,у легковых 4 колёса)

Answer 1

Усть х грузовых автомобилей осталось на стоянке
тогда (13-х) легковых автомобилей осталось на стоянке
6х колес — у всех грузовых автомобилей
4*(13-х) колес — у всех легковых автомобилей
(6х + 4(13-х)) колес — у всех автомобилей
Зная, что у всех автомобилей 60 колес, составим уравнение:
6х + 4(13-х) = 60
6х + 52 — 4х = 60
6х — 4х = 60 — 52
2х = 8
х = 8:2
х = 4
4 грузовых автомобиля осталось на стоянке
13-4 = 9 легковых автомобилей осталось на стоянке
Ответ: на стоянке осталось 4 грузовых и 9 легковых автомобилей
думаю так
выбери плисс лучшим

Answer 2

Problem Analysis

We are given that there are 13 cars remaining on a parking lot, which consists of both trucks and cars. We also know that the total number of wheels on these vehicles is 60, with trucks having 6 wheels and cars having 4 wheels. We need to determine the number of trucks and cars remaining on the parking lot.

Solution

Let's assume the number of trucks is represented by T and the number of cars is represented by C. We can set up the following equations based on the given information:

1. The total number of vehicles: T + C = 13 (Equation 1) 2. The total number of wheels: 6T + 4C = 60 (Equation 2)

We can solve this system of equations to find the values of T and C.

Solving the System of Equations

To solve the system of 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 = 13 - C (Equation 3)

Substituting Equation 3 into Equation 2, we get: 6(13 - C) + 4C = 60

Simplifying the equation: 78 - 6C + 4C = 60 78 - 2C = 60 -2C = 60 - 78 -2C = -18 C = -18 / -2 C = 9

Substituting the value of C back into Equation 3, we can find the value of T: T = 13 - 9 T = 4

Therefore, there are 4 trucks and 9 cars remaining on the parking lot.

Answer

There are 4 trucks and 9 cars remaining on the parking lot.

Verification

Let's verify our solution by checking if the total number of wheels matches the given information.

The total number of wheels for trucks is 6 x 4 = 24. The total number of wheels for cars is 9 x 4 = 36.

The sum of the total number of wheels is 24 + 36 = 60, which matches the given information.

Therefore, our solution is verified.