The ratio of family 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 sports cars and the rest were electric cars and saloon cars in the ratio of 8 : 3. If there were 42 more family cars than electric cars, how many saloon cars were there?

Family Cars	Sports Cars	Electric Cars	Saloon Cars	Total Cars
2x11	3x11			5x11
	1x11	2x11		3x11
		8x2	3x2
22 u	11 u	16 u	6 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 11 is 22.

The total number of sports cars, electric cars and saloon cars is the next combined repeated identity. Make the total number of sports cars, electric cars and saloon cars the same. LCM of 3 and 3 is 33. 

Number of more family cars than electric cars
= 22 u - 16 u
= 6 u

6 u = 42

1 u = 42 ÷ 6 = 7

Number of saloon cars
= 6 u
= 6 x 7
= 42

Answer(s): 42