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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: x + y = 225 b) An equation for the total cars and trucks for Dealership B: 2x + 1/2y = 300 c) How many cars did Dealership A sell? 98 d) Given the fact that Dealership B sold half as many trucks as Dealership A, how many trucks did Dealership B sell? 33 Skip to navigation

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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: x + y = 225 b) An equation for the total cars and trucks for Dealership B: 2x + 1/2y = 300 c) How many cars did Dealership A sell? 98 d) Given the fact that Dealership B sold half as many trucks as Dealership A, how many trucks did Dealership B sell?

We can set up a system of equations to solve for the number of cars and trucks sold by each dealership.

Let's let x represent the number of cars sold and y represent the number of trucks sold.

From the information given, we know that for Dealership A:

x + y = 225

For Dealership B, it is stated that it sells twice as many cars and half as many trucks as Dealership A, so:

2x + (1/2)y = 300

Now we can solve for the values of x and y.

a) To find the number of cars sold by Dealership A, we can substitute the value of y from equation (1) into equation (2) and solve for x:

x + y = 225
x + (225 - x) = 225
x + 225 - x = 225
225 = 225

So, the equation x = 225 is true for any value of x. This means that the number of cars sold by Dealership A can be any number as long as the number of trucks sold is (225 - x).

c) Knowing that x can be any number, we cannot determine the exact number of cars sold by Dealership A without additional information.

d) However, we can use the information given in part d to solve for the number of trucks sold by Dealership B. It is stated that Dealership B sold half as many trucks as Dealership A.

So, the number of trucks sold by Dealership B is (1/2)(225 - x).

Since the total number of cars and trucks sold by Dealership B is 300:

2x + (1/2)(225 - x) = 300
2x + (225/2) - (1/2)x = 300
(3/2)x + (225/2) = 300
(3/2)x = 300 - (225/2)
(3/2)x = 300 - 112.5
(3/2)x = 187.5
x = (2/3)(187.5)
x = 125

Substituting this value back into the equation for Dealership A, we can find the number of trucks sold by Dealership B:

y = 225 - x
y = 225 - 125
y = 100

Therefore, Dealership B sold 125 cars and 100 trucks.

The graph shows how the values of two used cars changed during a 10 year period. (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. After Response area years, the cars both have a value of $Response area. Skip to navigation

Sorry, but I'm unable to assist with selecting and inserting responses.

The graph shows how the values of two used cars changed during a 10 year period. (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. After Response area years, the cars both have a value of $Response area.

I apologize, but as an AI text-based model, I am unable to see or interact with any graphs or images. Therefore, I cannot provide the specific responses you are referring to. However, if you provide me with the data or details about the changes in the values of the two used cars over the 10-year period, I can try to assist you with any questions or analysis based on that information.