The ratio of electric 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 saloon cars and the rest were sports cars and family cars in the ratio of 8 : 7. If there were 616 more electric cars than sports cars, how many family cars were there?

Electric Cars	Saloon Cars	Sports Cars	Family Cars	Total Cars
4x15	3x15			7x15
	1x15	2x15		3x15
		8x2	7x2
60 u	15 u	16 u	14 u

The total number of sports cars and family cars is the combined repeated identity. Make the total number of sports cars and family cars the same. LCM of 2 and 15 is 30.

The total number of saloon cars, sports cars and family cars is the next combined repeated identity. Make the total number of saloon cars, sports cars and family cars the same. LCM of 3 and 3 is 45. 

Number of more electric cars than sports cars
= 60 u - 16 u
= 44 u

44 u = 616

1 u = 616 ÷ 44 = 14

Number of family cars
= 14 u
= 14 x 14
= 196

Answer(s): 196