A company owns two dealerships, both of which sales cars and trucks dealership. They sells a total of 225 cars and trucks dealership base sells twice as many cars and half as many trucks as the dealership LA and sales a total of 300 cars and trucks. What is an equation for the total cars and trucks for dealership a

Question

A company owns two dealerships, both of which sales cars and trucks dealership. They sells a total of 225 cars and trucks dealership base sells twice as many cars and half as many trucks as the dealership LA and sales a total of 300 cars and trucks. What is an equation for the total cars and trucks for dealership a

Answer 1

Let's consider the number of cars sold by the dealership in LA as "x" and the number of trucks sold by the same dealership as "y".

According to the given information, the dealership LA sells a total of 225 cars and trucks. Therefore, we can write the following equation:

x + y = 225

Now, let's move on to the dealership base. It is mentioned that the dealership base sells twice as many cars and half as many trucks as the dealership LA, resulting in a total of 300 cars and trucks sold. Hence, we can write another equation as follows:

2x + 0.5y = 300

These two equations can be used to represent the total cars and trucks sold by dealership A.

Answer 2

Let x be the number of cars sold at the dealership LA and y be the number of trucks sold at the dealership LA.

We know that the dealership base sells twice as many cars as the dealership LA: base = 2x
We also know that the dealership base sells half as many trucks as the dealership LA: base = (1/2)y
The dealership LA sells x cars and y trucks, so their total sales is x + y.
The dealership base sells 2x cars and (1/2)y trucks, so their total sales is 2x + (1/2)y.
Based on the given information, we have the following equations:
x + y = 225 (Equation 1)
2x + (1/2)y = 300 (Equation 2)
To find an equation for the total cars and trucks at dealership A, we need to find the values of x and y, and substitute them into the equation (2x + (1/2)y).
We can solve the above system of equations to find the values of x and y.

Answer 3

To create an equation to represent the total cars and trucks sold by dealership A, we can break down the problem into parts:

Let's assume that the number of cars sold by dealership LA is represented by the variable "C_LA," and the number of trucks sold by dealership LA is represented by the variable "T_LA."

Given that the dealership LA sold a total of 225 cars and trucks, we can form the equation:
C_LA + T_LA = 225 --------- Equation 1

We are also provided with the information that the dealership A sells twice as many cars as dealership LA. Therefore, the number of cars sold by dealership A is represented by the variable "2C_LA."

Additionally, dealership A sells half as many trucks as dealership LA. So, the number of trucks sold by dealership A is represented by the variable "0.5T_LA."

Now, we know that the dealership A sold a total of 300 cars and trucks, so we can form the equation:
2C_LA + 0.5T_LA = 300 --------- Equation 2

The equation for the total cars and trucks sold by dealership A is the combination of Equations 1 and 2:

(C_LA + T_LA) = 225
(2C_LA + 0.5T_LA) = 300

These equations will allow you to find the values of C_LA and T_LA and, therefore, determine the total cars and trucks sold by dealership A.