The ratio of electric cars to the total number of cars on display in Ken's car shop was 2 : 7. ³₅ of the remaining cars on display were sports cars and the rest were family cars and saloon cars in the ratio of 2 : 1. If there were 38 more electric cars than family cars, how many saloon cars were there?

Electric Cars	Sports Cars	Family Cars	Saloon Cars	Total Cars
2x3	5x3			7x3
	3x3	2x3		5x3
		2x2	1x2
6 u	9 u	4 u	2 u

The total number of family cars and saloon cars is the combined repeated identity. Make the total number of family cars and saloon cars the same. LCM of 2 and 3 is 6.

The total number of sports cars, family cars and saloon cars is the next combined repeated identity. Make the total number of sports cars, family cars and saloon cars the same. LCM of 5 and 5 is 15. 

Number of more electric cars than family cars
= 6 u - 4 u
= 2 u

2 u = 38

1 u = 38 ÷ 2 = 19

Number of saloon cars
= 2 u
= 2 x 19
= 38

Answer(s): 38