To solve this problem using Desmos Graphing Calculator, we can set up a system of equations.
Let's assume the number of cars sold by Dealership A is "x", and the number of trucks sold by Dealership A is "y".
So, the total number of vehicles sold by Dealership A (cars and trucks) is x + y = 225 ----(1)
According to the given information, Dealership B sells twice as many cars as Dealership A and half as many trucks.
Therefore, the number of cars sold by Dealership B is 2x, and the number of trucks sold by Dealership B is (1/2)y.
So, the total number of vehicles sold by Dealership B is 2x + (1/2)y = 300 ----(2)
To solve this system of equations, we can graph these two equations on Desmos Graphing Calculator and find the intersection point.
1) Enter the equation "x + y = 225" into the calculator by typing "y = 225 - x" in the input bar.
2) Enter the equation "2x + (1/2)y = 300" into the calculator by typing "y = 600 - 4x" in the input bar.
3) Press the Enter key to graph the equations. You will see two lines representing the equations.
4) Observe the intersection point of the two lines on the graph. The x-coordinate of this point represents the number of cars sold by Dealership A, and the y-coordinate represents the number of trucks sold by Dealership A.
5) Read the values of the x-coordinate and y-coordinate at the intersection point to determine the answers to the questions.
By following these steps, you can find the solutions to the given problem using Desmos Graphing Calculator.
Use your graphing calculator: Desmos Graphing Calculator
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 Dealership A, and sells a total of 300 cars and trucks.
1) How many cars did Dealership A sell?
2) Considering that Dealership B sold half as many trucks as Dealership A, how many trucks did Dealership B sell?
1 answer