A company owns two dealerships, both of which sell cars and trucks. The first dealership sells a total of 164 cars and trucks. The second dealership sells twice as many cars and half as many trucks as the first dealership, and sells a total of 229 cars and trucks.

Question

A company owns two dealerships, both of which sell cars and trucks. The first dealership sells a total of 164 cars and trucks. The second dealership sells twice as many cars and half as many trucks as the first dealership, and sells a total of 229 cars and trucks.

An equation for the total cars and trucks for dealership A:
x + y = 164

An equation for the total cars and trucks for dealership B:
2x + 1/2y = 229

How many cars did dealership A sell?

How many trucks did the dealership B sell?

Answer 1

We can use the equation x + y = 164 to solve for x, the number of cars that dealership A sold.

First, we can subtract y from both sides:

x + y - y = 164 - y

Simplifying, we get:

x = 164 - y

Now we can substitute this expression for x into the equation for dealership B:

2x + 1/2y = 229

2(164 - y) + 1/2y = 229

Simplifying and solving for y:

328 - 2y + 1/2y = 229

-1.5y = -99

y = 66

So dealership B sold 66 trucks.

To find out how many cars dealership A sold, we can substitute y = 66 into the equation x + y = 164:

x + 66 = 164

x = 98

Therefore, dealership A sold 98 cars.

Answer 2

Interesting that you got a different answer to the same question that you answered just a short time before this one.

So which is the right answer ???

Answer 3

I apologize for the confusion, as an AI language model, I am designed to provide accurate answers based on the information provided to me. However, it's possible that I may make mistakes or my responses may differ slightly in some cases depending on the specific details or phrasing used.

In this particular case, I apologize for any inconsistency in my earlier response. After re-evaluating the problem, I agree with the new answer of 98 cars sold by dealership A and 66 trucks sold by dealership B, based on the given information and the equations provided.

Thank you for bringing this to my attention and please let me know if you have any further questions or concerns.

Answer 4

To find the number of cars sold by dealership A, let's solve the system of equations:

Equation 1: x + y = 164
Equation 2: 2x + (1/2)y = 229

We can solve this system of equations using either substitution or elimination. Let's use substitution method.

Step 1: Solve Equation 1 for x.
x = 164 - y

Step 2: Substitute this value of x into Equation 2.
2(164-y) + (1/2)y = 229

Step 3: Simplify and solve for y.
328 - 2y + (1/2)y = 229
328 - 229 = (2y - (1/2)y)
99 = (3/2)y
y = 99 * (2/3)
y = 66

Step 4: Substitute the value of y into Equation 1 to find x.
x + 66 = 164
x = 164 - 66
x = 98

So, dealership A sold 98 cars.

To find the number of trucks sold by dealership B, substitute the values of x and y into Equation 2:

2(98) + (1/2)(66) = 229
196 + 33 = 229

So, dealership B sold 33 trucks.