a company owns two dealerships both of which sell cars and trucks. Dealership A sells a total of 164 cars and trucks dearlership B sells twice as many cars and half as many trucks as Dealership A. and sells a total of 229 cars and trucks.

Question

write an equation for the total cars and trucks for dealership A

Answer 1

Let's denote the total number of cars sold by Dealership A as "C" and the total number of trucks sold by Dealership A as "T."
According to the given information, Dealership A sells a total of 164 cars and trucks, so we can write the equation:
C + T = 164.

However, since we will need to determine the number of cars and trucks sold by Dealership B based on the values of C and T, it may be more helpful to write the equation in terms of only C.

We know that Dealership B sells twice as many cars as Dealership A, so the number of cars sold by Dealership B would be 2 * C.
Dealership B also sells half as many trucks as Dealership A, so the number of trucks sold by Dealership B would be 0.5 * T.

The total number of cars and trucks sold by Dealership B is given as 229, so we can write the equation:
2 * C + 0.5 * T = 229.

Therefore, the equation for the total cars and trucks sold by Dealership A is C + T = 164.