The ratio of family 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 electric cars and the rest were sports cars and saloon cars in the ratio of 8 : 7. If there were 84 more family cars than sports cars, how many saloon cars were there?

Family Cars	Electric Cars	Sports Cars	Saloon Cars	Total Cars
2x15	5x15			7x15
	3x15	2x15		5x15
		8x2	7x2
30 u	45 u	16 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 15 is 30.

The total number of electric cars, sports cars and saloon cars is the next combined repeated identity. Make the total number of electric cars, sports cars and saloon cars the same. LCM of 5 and 5 is 75. 

Number of more family cars than sports cars
= 30 u - 16 u
= 14 u

14 u = 84

1 u = 84 ÷ 14 = 6

Number of saloon cars
= 14 u
= 14 x 6
= 84

Answer(s): 84