A company owns two dealerships, both of which sell cars and ttrucks. Dealership A sells a toal of 164 cars and trucks. Dealership B sells twice as many cars and half as many trucks as Dealership A, and sells a total of 229 cars 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)Considering that Dealership B sold half as many trucks as dealership A, how many trucks did Dealership B sell?:

1 answer

a) Let's represent the number of cars sold by Dealership A as C and the number of trucks as T. The equation for the total cars and trucks for Dealership A is C + T = 164.

b) Let's represent the number of cars sold by Dealership B as C' and the number of trucks as T'. The equation for the total cars and trucks for Dealership B is C' + T' = 229.

c) Since Dealership A sold a total of 164 cars and trucks, we can use equation (a) to determine the number of cars sold by Dealership A, which is C = 164 - T.

d) Considering that Dealership B sold half as many trucks as Dealership A, we can express the number of trucks sold by Dealership B as T' = 0.5T.