The ratio of saloon 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 family cars in the ratio of 9 : 2. If there were 60 more saloon cars than sports cars, how many family cars were there?

Saloon Cars	Electric Cars	Sports Cars	Family Cars	Total Cars
2x11	5x11			7x11
	3x11	2x11		5x11
		9x2	2x2
22 u	33 u	18 u	4 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 11 is 22.

The total number of electric cars, sports cars and family cars is the next combined repeated identity. Make the total number of electric cars, sports cars and family cars the same. LCM of 5 and 5 is 55. 

Number of more saloon cars than sports cars
= 22 u - 18 u
= 4 u

4 u = 60

1 u = 60 ÷ 4 = 15

Number of family cars
= 4 u
= 4 x 15
= 60

Answer(s): 60