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Question

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: b) An equation for the total cars and trucks for Dealership B: ✪ ◆ c) How many cars did Dealership A sell? ◆ B sell? î d) Given the fact that Dealership B sold half as many trucks as Dealership A, how many trucks did Dealership

Answer 1

a) Let's assume "C" represents the number of cars and "T" represents the number of trucks. For Dealership A, the equation would be:

C + T = 225

b) For Dealership B, it states that they sell twice as many cars as Dealership A and half as many trucks. Let's use the variables "C2" for the number of cars in Dealership B and "T2" for the number of trucks in Dealership B. The equation would be:

C2 + T2 = 300

c) To find out how many cars Dealership A sold, we need to solve for "C" in the equation from part a):

C + T = 225
C = 225 - T

Since we don't have the specific number of trucks sold by Dealership A, we cannot determine the exact number of cars sold by Dealership A.

d) The question states that Dealership B sold half as many trucks as Dealership A. Using the equations from parts a) and b), we can substitute the expressions for "C" and "T" in the equation for Dealership A:

C2 + T2 = 300
C2 + (225 - T) = 300
C2 - T = 75

Now, we have two equations:

C + T = 225
C2 - T = 75

Unfortunately, with only these two equations, we cannot determine the exact number of trucks sold by Dealership A or Dealership B.