The ratio of electric cars to the total number of cars on display in Ken's car shop was 4 : 7. ¹₃ of the remaining cars on display were family cars and the rest were sports cars and saloon cars in the ratio of 3 : 2. If there were 84 more electric cars than sports cars, how many saloon cars were there?

Electric Cars	Family Cars	Sports Cars	Saloon Cars	Total Cars
4x5	3x5			7x5
	1x5	2x5		3x5
		3x2	2x2
20 u	5 u	6 u	4 u

The total number of sports cars and saloon cars is the combined repeated identity. Make the total number of sports cars and saloon cars the same. LCM of 2 and 5 is 10.

The total number of family cars, sports cars and saloon cars is the next combined repeated identity. Make the total number of family cars, sports cars and saloon cars the same. LCM of 3 and 3 is 15. 

Number of more electric cars than sports cars
= 20 u - 6 u
= 14 u

14 u = 84

1 u = 84 ÷ 14 = 6

Number of saloon cars
= 4 u
= 4 x 6
= 24

Answer(s): 24