A company owns two dealerships, both of wich 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 car and trucks
a) An equation for the total cars and trucks for Dealership A:
b) An equation for the total cars and trucks for Dealership B:
c) how many cars did Dealership A sell?
d) Given the fact that Dealership B sold half os many trucks as Dealership A, how many trucks did Dealership B sell?
a) Let's assume the number of cars sold by Dealership A is x and the number of trucks sold by Dealership A is y. Therefore, the equation for the total cars and trucks for Dealership A is:
x + y = 225
b) Dealership B sells twice as many cars and half as many trucks as Dealership A. Let's assume the number of cars sold by Dealership B is 2x (twice as many as Dealership A) and the number of trucks sold by Dealership B is y/2 (half as many as Dealership A). Therefore, the equation for the total cars and trucks for Dealership B is:
2x + y/2 = 300
c) From equation a), we know that x + y = 225. However, since we don't have any additional information, we cannot determine the exact number of cars sold by Dealership A.
d) Given that Dealership B sold half as many trucks as Dealership A, we can set y/2 equal to the number of trucks sold by Dealership B. Since y/2 is the same as the number of trucks sold by Dealership B, it is not sufficient to determine the exact number of trucks sold by Dealership B.