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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)

1 answer

Let's assume that the number of cars sold by dealership A is "x" and the number of trucks sold by dealership A is "y".

According to the given information, we know that the total number of cars and trucks sold by dealership A is 225. So we have the equation:

x + y = 225

Now, we also know that dealership B sells twice as many cars as dealership A, so the number of cars sold by dealership B is 2x. Similarly, dealership B sells half as many trucks as dealership A, so the number of trucks sold by dealership B is (1/2)y.

According to the given information, dealership B also sells a total of 300 cars and trucks. So we have the equation:

2x + (1/2)y = 300

We now have a system of equations where we can solve for the values of x and y using the Desmos graphing calculator.