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 x be the number of cars sold by Dealership A.
Then the number of trucks sold by Dealership A is 225 - x.
Dealership B sells twice as many cars as Dealership A, so it sells 2x cars.
Dealership B sells half as many trucks as Dealership A, so it sells (225 - x)/2 trucks.
The total number of cars and trucks sold by Dealership B is 2x + (225 - x)/2 = 300.
Let's break down the information given step-by-step:
1. Dealership A sells a total of 225 cars and trucks.
2. Dealership B sells twice as many cars and half as many trucks as Dealership A.
3. Dealership B sells a total of 300 cars and trucks.
Based on these steps, let's find an equation for the total cars and trucks sold by Dealership B.
Let "C" represent the number of cars sold by Dealership A.
Let "T" represent the number of trucks sold by Dealership A.
According to step 1, the total number of cars and trucks sold by Dealership A is C + T = 225.
According to step 2, Dealership B sells twice as many cars as Dealership A, and half as many trucks:
Number of cars sold by Dealership B = (2 * C)
Number of trucks sold by Dealership B = (0.5 * T)
According to step 3, the total number of cars and trucks sold by Dealership B is (2 * C) + (0.5 * T) = 300.
Thus, the equation for the total cars and trucks sold by Dealership B is:
(2 * C) + (0.5 * T) = 300
Let's use variables to represent the number of cars and trucks at Dealership A. Let's say the number of cars at Dealership A is C and the number of trucks is T.
We are given that Dealership A sells a total of 225 cars and trucks, so we can write one equation as:
C + T = 225 ----(Equation 1)
Now let's consider Dealership B. We are given that it sells twice as many cars as Dealership A and half as many trucks. The number of cars at Dealership B would be 2 times the number of cars at Dealership A, so it would be 2C. The number of trucks at Dealership B would be half of the number of trucks at Dealership A, so it would be T/2.
We are also given that Dealership B sells a total of 300 cars and trucks. Therefore, we can write another equation as:
2C + T/2 = 300 ----(Equation 2)
These two equations can be used to solve for the values of C and T, which represent the number of cars and trucks at Dealership A.