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 A:
Let's call the number of cars sold by Dealership A as "x" and the number of trucks sold as "y".
The total number of cars and trucks sold by Dealership A is given as 225. So, we can write the equation:
x + y = 225
Since Dealership B sells twice as many cars as Dealership A, we can write the number of cars sold by Dealership B as 2x. Similarly, Dealership B sells half as many trucks as Dealership A, so we can write the number of trucks sold by Dealership B as 0.5y.
The total number of cars and trucks sold by Dealership B is given as 300. So, we can write the equation:
2x + 0.5y = 300
These two equations represent the total cars and trucks sold by Dealership A and Dealership B, respectively.
Let's use the variable "c" to represent the number of cars and "t" to represent the number of trucks.
According to the given information, Dealership A sells a total of 225 cars and trucks, which can be expressed as:
c + t = 225
To find the equation for the total cars and trucks sold by Dealership A, let's assign variables to represent the number of cars and trucks.
Let's say "x" represents the number of cars sold by Dealership A.
And let's say "y" represents the number of trucks sold by Dealership A.
The problem states that Dealership A sells a total of 225 cars and trucks. Therefore, we can write the equation:
x + y = 225
This equation represents the total number of cars and trucks sold by Dealership A.