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. %0D%0A%0D%0A(4 points)%0D%0Aa) An equation for the total cars and trucks for Dealership A: %0D%0A%0D%0Ab) An equation for the total cars and trucks for Dealership B: %0D%0A%0D%0Ac) How many cars did Dealership A sell? %0D%0A%0D%0Ad) Given the fact that Dealership B sold half as many trucks as Dealership A, how many trucks did Dealership B sell?

2 answers

a) Let's assume that the number of cars sold by Dealership A is C and the number of trucks sold is T. According to the problem, Dealership A sells a total of 225 cars and trucks. Therefore, the equation for the total cars and trucks sold by Dealership A is:

C + T = 225

b) Similarly, let's assume that the number of cars sold by Dealership B is X and the number of trucks sold is Y. According to the problem, Dealership B sells twice as many cars and half as many trucks as Dealership A, and sells a total of 300 cars and trucks. Therefore, the equation for the total cars and trucks sold by Dealership B is:

X + Y = 300

c) To find the number of cars sold by Dealership A, we can solve the equation C + T = 225. However, there is not enough information given in the problem to determine the specific number of cars sold by Dealership A.

d) Given the fact that Dealership B sold half as many trucks as Dealership A, we know that Y = T/2. To find the number of trucks sold by Dealership B, we can substitute this equation into the equation X + Y = 300:

X + T/2 = 300

However, without knowing the specific value of T, we cannot determine the number of trucks sold by Dealership B.
C isn't a answer choice