Puzzles/Arithmetical puzzles/Luxury Cars

From Wikibooks, open books for an open world
< Puzzles‎ | Arithmetical puzzles
Jump to: navigation, search

Puzzles | Arithmetical puzzles | Luxury Cars


A major luxury car company has three outlets on the east coast (in New York, Boston, and Miami) and two outlets on the west coast (in Los Angeles and San Francisco). The sales in Los Angeles were one quarter of the total sales plus one car. The sales in New York were one quarter of the rest (not counting the cars sold in L.A.) plus one car. The sales in San Francisco were one quarter of the rest (not counting L.A., N.Y.) plus one car. And the sales in Boston were one quarter of the rest (not counting L.A., N.Y., S.F.) plus one car. The balance so far showed that L.A. and San Francisco sold 100 cars more than N.Y. and Boston. However, with the remaining cars sold in Miami it is likely that the total sales of the east coast will be greater than the total sales of the west coast.

How many cars were sold in each city?

solution