The ratio of saloon cars to the total number of cars on display in Ken's car shop was 2 : 5. ¹₃ of the remaining cars on display were sports cars and the rest were family cars and electric cars in the ratio of 9 : 2. If there were 44 more saloon cars than family cars, how many electric cars were there?

Saloon Cars	Sports Cars	Family Cars	Electric Cars	Total Cars
2x11	3x11			5x11
	1x11	2x11		3x11
		9x2	2x2
22 u	11 u	18 u	4 u

The total number of family cars and electric cars is the combined repeated identity. Make the total number of family cars and electric cars the same. LCM of 2 and 11 is 22.

The total number of sports cars, family cars and electric cars is the next combined repeated identity. Make the total number of sports cars, family cars and electric cars the same. LCM of 3 and 3 is 33. 

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

4 u = 44

1 u = 44 ÷ 4 = 11

Number of electric cars
= 4 u
= 4 x 11
= 44

Answer(s): 44