The ratio of saloon cars to the total number of cars on display in Ken's car shop was 4 : 11. ²₇ of the remaining cars on display were sports cars and the rest were electric cars and family cars in the ratio of 5 : 4. If there were 110 more saloon cars than electric cars, how many family cars were there?

Saloon Cars	Sports Cars	Electric Cars	Family Cars	Total Cars
4x9	7x9			11x9
	2x9	5x9		7x9
		5x5	4x5
36 u	18 u	25 u	20 u

The total number of electric cars and family cars is the combined repeated identity. Make the total number of electric cars and family cars the same. LCM of 5 and 9 is 45.

The total number of sports cars, electric cars and family cars is the next combined repeated identity. Make the total number of sports cars, electric cars and family cars the same. LCM of 7 and 7 is 63. 

Number of more saloon cars than electric cars
= 36 u - 25 u
= 11 u

11 u = 110

1 u = 110 ÷ 11 = 10

Number of family cars
= 20 u
= 20 x 10
= 200

Answer(s): 200