A company owns two dealerships, both of which sell cars and trucks. Dealership A sells a total of 225 cars and trucks. Dealership B sells twice as many cars and half as many trucks as the Dealership A, and sells a total of 300 cars and trucks.

An equation for the total cars and trucks for Dealership B:

Let c be the number of cars and t be the number of trucks in Dealership A.

From the problem, we know that c + t = 225.

Dealership B sells twice as many cars as Dealership A, so the number of cars in Dealership B is 2c.
Dealership B sells half as many trucks as Dealership A, so the number of trucks in Dealership B is (1/2)t.

Therefore, the equation for the total cars and trucks for Dealership B is 2c + (1/2)t = 300.

Let's assume that the number of cars sold by Dealership A is represented by the variable "C", and the number of trucks sold by Dealership A is represented by the variable "T".

According to the given information:
Dealership A sells a total of 225 cars and trucks:
C + T = 225 .......(1)

Dealership B sells twice as many cars and half as many trucks as Dealership A, and sells a total of 300 cars and trucks:
2C + 0.5T = 300 .......(2)

So, the equation for the total cars and trucks for Dealership B is:
2C + 0.5T = 300.

To find the equation for the total cars and trucks for Dealership B, we need to use the information provided.

Let's assign variables:
Let C be the number of cars sold by Dealership A.
Let T be the number of trucks sold by Dealership A.

According to the information given, Dealership A sells a total of 225 cars and trucks, so we have the equation:
C + T = 225 ---(Equation 1)

The problem states that Dealership B sells twice as many cars and half as many trucks as Dealership A. So, the number of cars sold by Dealership B is 2C, and the number of trucks sold by Dealership B is (1/2)T.

According to the information given about Dealership B, it sells a total of 300 cars and trucks. So, we have the equation:
2C + (1/2)T = 300 ---(Equation 2)

Therefore, the equation for the total cars and trucks for Dealership B is: 2C + (1/2)T = 300.