The ratio of sports cars to the total number of cars on display in Ken's car shop was 2 : 5. ¹₃ of the remaining cars on display were electric cars and the rest were family cars and saloon cars in the ratio of 4 : 1. If there were 8 more sports cars than family cars, how many saloon cars were there?

Sports Cars	Electric Cars	Family Cars	Saloon Cars	Total Cars
2x5	3x5			5x5
	1x5	2x5		3x5
		4x2	1x2
10 u	5 u	8 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 5 is 10.

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

Number of more sports cars than family cars
= 10 u - 8 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of saloon cars
= 2 u
= 2 x 4
= 8

Answer(s): 8