The ratio of electric cars to the total number of cars on display in Ken's car shop was 4 : 11. ⁴₇ of the remaining cars on display were sports cars and the rest were saloon cars and family cars in the ratio of 9 : 4. If there were 50 more electric cars than saloon cars, how many family cars were there?

Electric Cars	Sports Cars	Saloon Cars	Family Cars	Total Cars
4x13	7x13			11x13
	4x13	3x13		7x13
		9x3	4x3
52 u	52 u	27 u	12 u

The total number of saloon cars and family cars is the combined repeated identity. Make the total number of saloon cars and family cars the same. LCM of 3 and 13 is 39.

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

Number of more electric cars than saloon cars
= 52 u - 27 u
= 25 u

25 u = 50

1 u = 50 ÷ 25 = 2

Number of family cars
= 12 u
= 12 x 2
= 24

Answer(s): 24