The ratio of sports 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 electric cars and the rest were family cars and saloon cars in the ratio of 5 : 4. If there were 520 more sports cars than family cars, how many saloon cars were there?

Sports Cars	Electric Cars	Family Cars	Saloon Cars	Total Cars
4x9	3x9			7x9
	1x9	2x9		3x9
		5x2	4x2
36 u	9 u	10 u	8 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 9 is 18.

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 27. 

Number of more sports cars than family cars
= 36 u - 10 u
= 26 u

26 u = 520

1 u = 520 ÷ 26 = 20

Number of saloon cars
= 8 u
= 8 x 20
= 160

Answer(s): 160