Question

A company owns two dealerships both of which sell cars and trucks. Dealership A sells a total of 164 cars and trucks. Dealership B sells twice as many cars and half as many trucks as Dealership A, and sells a total of 229 cars and trucks.
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 cards did dealership A sell:
D. Considering that dealership B sold half as many trucks as Dealership A, how many trucks did dealership B sell?:

Answer 1

B and D are wrong ?

Answer 2

D is still wrong ?

Answer 3

A. Let's assume the number of cars sold by Dealership A is "x" and the number of trucks sold is "y".
Since the total cars and trucks sold by Dealership A is 164, we can write the equation:
x + y = 164

B. Let's assume the number of cars sold by Dealership B is "m" and the number of trucks sold is "n".
Since Dealership B sells twice as many cars as Dealership A and half as many trucks, we can write the equation:
m + n = 229
m = 2x
n = y/2

C. To find how many cars Dealership A sold, we substitute the value of x from equation (A) into equation (C):
x + y = 164
x = 164 - y

D. To find how many trucks Dealership B sold, we substitute the values of x and y from equation (C) into equation (D):
n = y/2

Answer 4

Apologies for the incorrect responses. Let's re-evaluate them:

B. Let's assume the number of cars sold by Dealership B is "m" and the number of trucks sold is "n".
Since Dealership B sells twice as many cars as Dealership A and half as many trucks, we can write the equation:
m + n = 229
m = 2x
n = y/2

D. Considering that Dealership B sold half as many trucks as Dealership A, we can write the equation:
n = y/2

Now let's solve for the correct answers:

A. From equation (A): x + y = 164

B. From equations (B) and (D), we can substitute the values of x and y:
m + n = 229
2x + y/2 = 229

C. To find how many cars Dealership A sold, we substitute the value of x from equation (A) into equation (C):
x + y = 164
164 - y + y = 164
y = 0
Thus, Dealership A did not sell any trucks.

D. To find how many trucks Dealership B sold, we substitute the values of x and y from equation (A):
n = y/2
n = 0/2
n = 0
Therefore, Dealership B also did not sell any trucks.

Apologies for the confusion caused by the previous incorrect responses.

Answer 5

Apologies for the confusion. Let's re-evaluate the answer for D:

D. Considering that Dealership B sold half as many trucks as Dealership A, we can write the equation:
n = y/2

Since we haven't determined the value of "y" (the number of trucks sold by Dealership A), we cannot directly calculate the value of "n" (the number of trucks sold by Dealership B).

Please provide the value of "y" (the number of trucks sold by Dealership A) to accurately determine the number of trucks sold by Dealership B.