The ratio of electric cars to the total number of cars on display in Ken's car shop was 2 : 7. ³₅ of the remaining cars on display were family cars and the rest were sports cars and saloon cars in the ratio of 10 : 7. If there were 126 more electric cars than sports cars, how many saloon cars were there?

Electric Cars	Family Cars	Sports Cars	Saloon Cars	Total Cars
2x17	5x17			7x17
	3x17	2x17		5x17
		10x2	7x2
34 u	51 u	20 u	14 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 17 is 34.

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 5 and 5 is 85. 

Number of more electric cars than sports cars
= 34 u - 20 u
= 14 u

14 u = 126

1 u = 126 ÷ 14 = 9

Number of saloon cars
= 14 u
= 14 x 9
= 126

Answer(s): 126