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

Answer 1

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

Answer 2

Let's say that the first dealership sold x cars and y trucks.
We know that the total sold was 164, so we can write:
x + y = 164

For the second dealership, we are told that they sell twice as many cars as the first dealership, and half as many trucks. So, the second dealership sold 2x cars and 0.5y trucks.
We know that the total sold was 229, so we can write:
2x + 0.5y = 229

Now we have two equations with two unknowns, so we can solve for x and y. We can start by multiplying the first equation by 0.5 to get:
0.5x + 0.5y = 82

Now we can subtract this equation from the second equation to eliminate y:
2x + 0.5y = 229
- 0.5x - 0.5y = -82
-----------------------
1.5x = 147

Dividing both sides by 1.5 gives us x = 98. So the first dealership sold 98 cars.

We can now substitute this value of x into the first equation to find y:
98 + y = 164
y = 66

So the first dealership sold 98 cars and 66 trucks. We were told that the second dealership sold twice as many cars as the first dealership, so they sold 2 * 98 = 196 cars. We were also told that they sold half as many trucks, so they sold 0.5 * 66 = 33 trucks.

So the second dealership sold 196 cars and 33 trucks.

Answer 3

Let us label the number of cars sold at the first dealership as "x" and the number of trucks sold at the same location as "y". We can set up two equations to represent the given information:

x + y = 164 (Equation 1)

The second dealership sells twice as many cars as the first dealership and half as many trucks. This can be represented as:

2x + 0.5y = 229 (Equation 2)

To solve for x and y, we can use substitution or elimination. Let's use elimination. We can multiply Equation 1 by -0.5 to get:

-0.5x - 0.5y = -82 (Equation 3)

Now we can add Equations 2 and 3 to eliminate y:

2x + 0.5y = 229
-0.5x - 0.5y = -82
---------------------
1.5x = 147

Dividing both sides by 1.5 gives us x = 98.

We can substitute this value of x into Equation 1 to solve for y:

98 + y = 164
y = 66

Therefore, the first dealership sold 98 cars and 66 trucks.

The second dealership sold twice as many cars as the first dealership, or 2*98=196 cars. The second dealership sold half as many trucks as the first dealership, or 0.5*66=33 trucks.

Therefore, the second dealership sold 196 cars and 33 trucks.