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 family cars and the rest were electric cars and saloon cars in the ratio of 3 : 2. If there were 112 more sports cars than electric cars, how many saloon cars were there?

Sports Cars	Family Cars	Electric 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 electric cars and saloon cars is the combined repeated identity. Make the total number of electric cars and saloon cars the same. LCM of 2 and 5 is 10.

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

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

14 u = 112

1 u = 112 ÷ 14 = 8

Number of saloon cars
= 4 u
= 4 x 8
= 32

Answer(s): 32