The ratio of electric cars to the total number of cars on display in Ken's car shop was 3 : 8. ³₅ of the remaining cars on display were saloon cars and the rest were family cars and sports cars in the ratio of 5 : 4. If there were 136 more electric cars than family cars, how many sports cars were there?

Electric Cars	Saloon Cars	Family Cars	Sports Cars	Total Cars
3x9	5x9			8x9
	3x9	2x9		5x9
		5x2	4x2
27 u	27 u	10 u	8 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 2 and 9 is 18.

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 5 and 5 is 45. 

Number of more electric cars than family cars
= 27 u - 10 u
= 17 u

17 u = 136

1 u = 136 ÷ 17 = 8

Number of sports cars
= 8 u
= 8 x 8
= 64

Answer(s): 64