The ratio of family 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 saloon cars in the ratio of 9 : 4. If there were 105 more family cars than electric cars, how many saloon cars were there?

Family Cars	Sports Cars	Electric Cars	Saloon Cars	Total Cars
4x13	7x13			11x13
	2x13	5x13		7x13
		9x5	4x5
52 u	26 u	45 u	20 u

The total number of electric cars and saloon cars is the combined repeated identity. Make the total number of electric cars and saloon cars the same. LCM of 5 and 13 is 65.

The total number of sports cars, electric cars and saloon cars is the next combined repeated identity. Make the total number of sports cars, electric cars and saloon cars the same. LCM of 7 and 7 is 91. 

Number of more family cars than electric cars
= 52 u - 45 u
= 7 u

7 u = 105

1 u = 105 ÷ 7 = 15

Number of saloon cars
= 20 u
= 20 x 15
= 300

Answer(s): 300