Question

A company owns two dealerships, both of which sell cars and trucks. The first dealership sells a total of 164 cars and trucks. The second dealership sells twice as many cars and half as many trucks as the first dealership, and sells a total of 229 cars and trucks. The system of equations below represents this situation.




How many cars does the first dealership sell?

Answer 1

first dealer sells c cars and t trucks
c + t = 164
second dealer
2 c + (1/2) t = 229 or 4 c + t = 458
so
4 c + t = 458
c + t = 164
-----------------------subtract
3 c = 294
c = 98 cars by first dealer