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 saloon cars and the rest were sports cars and family cars in the ratio of 7 : 4. If there were 92 more electric cars than sports cars, how many family cars were there?

Electric Cars	Saloon Cars	Sports Cars	Family Cars	Total Cars
4x11	7x11			11x11
	4x11	3x11		7x11
		7x3	4x3
44 u	44 u	21 u	12 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 3 and 11 is 33.

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 7 and 7 is 77. 

Number of more electric cars than sports cars
= 44 u - 21 u
= 23 u

23 u = 92

1 u = 92 ÷ 23 = 4

Number of family cars
= 12 u
= 12 x 4
= 48

Answer(s): 48