a company owns two dealerships both of which sell cars and trucks. Dealership A sells a total of 164 cars and trucks dearlership B sells twice as many cars and half as many trucks as Dealership A. and sells a total of 229 cars and trucks

Question

a company owns two dealerships both of which sell cars and trucks. Dealership A sells a total of 164 cars and trucks dearlership B sells twice as many cars and half as many trucks as Dealership A. and sells a total of 229 cars and trucks

write an equaton for the total cars and trucks for dealership B

Answer 1

Let's say the number of cars sold by Dealership A is C and the number of trucks sold by Dealership A is T. According to the problem, Dealership A sells a total of 164 cars and trucks, so we can write the equation:

C + T = 164

Now let's find the number of cars and trucks sold by Dealership B. It is given that Dealership B sells twice as many cars as Dealership A and half as many trucks as Dealership A. So, the number of cars sold by Dealership B is 2C and the number of trucks sold by Dealership B is (1/2)T. The total number of cars and trucks sold by Dealership B is given to be 229, so we can write another equation:

2C + (1/2)T = 229

Therefore, the equation for the total number of cars and trucks sold by Dealership B is 2C + (1/2)T = 229.

Answer 2

Let's assume the number of cars sold by Dealership A is represented by variable C, and the number of trucks sold by Dealership A is represented by variable T.

According to the given information:
Dealership A sells a total of 164 cars and trucks.
So, the equation for the total cars and trucks sold by Dealership A can be written as:
C + T = 164 -------------- (Equation 1)

Now, let's consider Dealership B.
It is stated that Dealership B sells twice as many cars as Dealership A. Therefore, the number of cars sold by Dealership B would be 2C.
It is also stated that Dealership B sells half as many trucks as Dealership A. Therefore, the number of trucks sold by Dealership B would be (1/2)T.

According to the given information:
Dealership B sells a total of 229 cars and trucks.
So, the equation for the total cars and trucks sold by Dealership B can be written as:
2C + (1/2)T = 229 -------------- (Equation 2)

Hence, the equation for the total cars and trucks sold by dealership B can be stated as 2C + (1/2)T = 229.

Answer 3

Let's denote the number of cars sold by Dealership A as "A_car" and the number of trucks sold as "A_truck". Similarly, let's denote the number of cars sold by Dealership B as "B_car" and the number of trucks sold as "B_truck".

Given that Dealership A sells a total of 164 cars and trucks, we can write the equation:

A_car + A_truck = 164

We are also given that Dealership B sells twice as many cars as Dealership A and half as many trucks. Therefore, we can write the equation:

B_car = 2 * A_car
B_truck = (1/2) * A_truck

The total number of cars and trucks sold by Dealership B is given as 229. To write the equation for the total cars and trucks for Dealership B, we can substitute the values:

B_car + B_truck = 229

Substituting the values of B_car and B_truck with the expressions we derived earlier, the equation becomes:

2 * A_car + (1/2) * A_truck = 229

So, the equation for the total cars and trucks sold by Dealership B is 2 * A_car + (1/2) * A_truck = 229.