The ratio of electric 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 saloon cars and the rest were family cars and sports cars in the ratio of 8 : 3. If there were 36 more electric cars than family cars, how many sports cars were there?

Electric Cars	Saloon Cars	Family Cars	Sports Cars	Total Cars
4x11	7x11			11x11
	2x11	5x11		7x11
		8x5	3x5
44 u	22 u	40 u	15 u

The total number of family cars and sports cars is the combined repeated identity. Make the total number of family cars and sports cars the same. LCM of 5 and 11 is 55.

The total number of saloon cars, family cars and sports cars is the next combined repeated identity. Make the total number of saloon cars, family cars and sports cars the same. LCM of 7 and 7 is 77. 

Number of more electric cars than family cars
= 44 u - 40 u
= 4 u

4 u = 36

1 u = 36 ÷ 4 = 9

Number of sports cars
= 15 u
= 15 x 9
= 135

Answer(s): 135