a) Let's use C1 to represent the number of cars sold by Dealership A and T1 to represent the number of trucks sold by Dealership A. Since Dealership A sells a total of 225 cars and trucks, we can write the equation as:
C1 + T1 = 225
b) Dealership B sells twice as many cars as Dealership A, so let's use C2 to represent the number of cars sold by Dealership B. Dealership B sells half as many trucks as Dealership A, so let T2 represent the number of trucks sold by Dealership B. We can then write the equation for Dealership B as:
C2 + T2 = 300
c) From equation a), we can't determine the number of cars Dealership A sold because we have two variables (C1 and T1) and only one equation.
Given that Dealership B sold twice as many cars as Dealership A, we can say:
C2 = 2C1
Since Dealership B sold half as many trucks as Dealership A, we can say:
T2 = 0.5T1
We can now substitute these expressions into equation b):
2C1 + 0.5T1 = 300
From here, we still can't determine the exact number of cars and trucks sold by either dealership because we have two variables (C1 and T1) and one equation. To solve for the number of cars and trucks sold by each dealership, we would need another equation or more information.
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. (4 points) a) An equation for the total cars and trucks for Dealership A:
An equation for the total cars and trucks for Dealership B:
How many cars did Dealership A sell?
Given the fact that Dealership B sold half as many trucks as Dealership A, how many trucks did Dealership B sell?
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