A company owns two dealerships, both of which sell cars and trucks. Dealership A sells a total 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 C represent the number of cars sold by Dealership A and T represent the number of trucks sold by Dealership A. The equation for the total cars and trucks for Dealership A is:

C + T = 164

b) Let C' represent the number of cars sold by Dealership B and T' represent the number of trucks sold by Dealership B. The equation for the total cars and trucks for Dealership B is:

C' + T' = 229

c) Dealership A sold 164 - T trucks. There is no specific information given about the number of cars sold by Dealership A, so we cannot determine the exact number of cars dealership A sold.

d) Dealership B sold half as many trucks as Dealership A, so T' = T/2.