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's assume that the number of cars sold by Dealership A is represented by "C" and the number of trucks sold by Dealership A is represented by "T".
According to the given information, Dealership A sells a total of 225 cars and trucks, so we can write the equation: C + T = 225.
Now, let's find the number of cars and trucks sold by Dealership B. We know that Dealership B sells twice as many cars as Dealership A, so the number of cars sold by Dealership B is 2C. Additionally, Dealership B sells half as many trucks as Dealership A, so the number of trucks sold by Dealership B is (1/2)T.
The total number of cars and trucks sold by Dealership B is given as 300, so we can write the equation: 2C + (1/2)T = 300.
Thus, the equation for the total cars and trucks sold by Dealership B is 2C + (1/2)T = 300.
Let's assume the number of cars sold by Dealership A is represented by C and the number of trucks sold is represented by T.
From the given information, we know that:
C + T = 225 -----(Equation 1)
Dealership B sells twice as many cars as Dealership A, so the number of cars sold by Dealership B (CB) is 2C.
Dealership B sells half as many trucks as Dealership A, so the number of trucks sold by Dealership B (TB) is T/2.
The total number of cars and trucks sold by Dealership B is 300.
Therefore, we have:
CB + TB = 300
Substituting the values of CB and TB, we get:
2C + T/2 = 300 -----(Equation 2)
Thus, the equation for the total cars and trucks for Dealership B is 2C + T/2 = 300.
To find an equation for the total cars and trucks sold at Dealership B, let's use the information given in the problem.
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.
Let's break this down into two parts: the number of cars sold at B and the number of trucks sold at B.
Number of Cars at Dealership B:
Dealership B sells twice as many cars as Dealership A. Since Dealership A sells 225 cars and trucks, Dealership B sells 2 times that amount:
Number of Cars at B = 2 * 225 = 450 cars
Number of Trucks at Dealership B:
Dealership B sells half as many trucks as Dealership A. Since Dealership A sells 225 cars and trucks, Dealership B sells half that amount:
Number of Trucks at B = 0.5 * 225 = 112.5 trucks
Note: Since we can't sell half of a truck, we'll round down to the nearest whole number. Therefore, Dealership B sells 112 trucks.
Now, let's find the total cars and trucks at Dealership B:
Total cars and trucks at B = Number of Cars at B + Number of Trucks at B
Total cars and trucks at B = 450 cars + 112 trucks = 562 cars and trucks
Therefore, the equation for the total cars and trucks at Dealership B is:
Total cars and trucks at B = 562.