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.
how many trucks did dealership B sell
Let's assume Dealership A sold x cars and y trucks.
Therefore, given that Dealership A sold a total of 225 cars and trucks, we have:
x + y = 225 ..........(1)
Dealership B sold twice as many cars as Dealership A, i.e. 2x, and half as many trucks, i.e. y/2.
Therefore, given that Dealership B sold a total of 300 cars and trucks, we have:
2x + y/2 = 300 ..........(2)
Multiplying equation (1) by 2, we have:
2x + 2y = 450
Now subtracting this equation from equation (2), we get:
(2x + y/2) - (2x + 2y) = 300 - 450
y/2 - 2y = -150
Multiplying both sides by 2 to get rid of the fraction:
y - 4y = -300
-3y = -300
Dividing both sides by -3:
y = 100
Therefore, Dealership B sold 100 trucks.
Let's solve this step-by-step:
Step 1: Determine the number of cars sold by Dealership B.
Dealership B sells twice as many cars as Dealership A, which sold a total of 225 cars. Therefore, Dealership B sold 2 * 225 = 450 cars.
Step 2: Determine the number of trucks sold by Dealership B.
Dealership B sells half as many trucks as Dealership A. We can calculate this by subtracting the number of cars sold by Dealership B from the total number of vehicles sold by Dealership B.
Total vehicles sold by Dealership B = 300 (Given)
Number of cars sold by Dealership B = 450 (Step 1)
Number of trucks sold by Dealership B = Total vehicles sold - Number of cars sold
Number of trucks sold = 300 - 450 = -150
It seems there is an inconsistency in the information provided, as we cannot have a negative number of trucks sold. Please double-check the given information or provide any additional details if available.
To find out how many trucks Dealership B sold, we need to determine the number of cars and trucks sold by both Dealership A and Dealership B.
Let's first find the number of cars sold by Dealership B. It is given that Dealership B sells twice as many cars as Dealership A. Since Dealership A sold 225 cars and trucks, Dealership B sells 2 times that amount, which is 2 * 225 = 450 cars.
Now, let's find the number of trucks sold by Dealership B. It is given that Dealership B sells half as many trucks as Dealership A. Since Dealership A sold a total of 225 cars and trucks, we can calculate the number of trucks sold by Dealership A by subtracting the number of cars sold from the total. Therefore, Dealership A sold 225 - 225 = 0 trucks.
Finally, Dealership B sells half as many trucks as Dealership A, so Dealership B sells 0 trucks / 2 = 0 trucks.
Therefore, Dealership B did not sell any trucks.