The ratio of electric 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 family cars and the rest were saloon cars and sports cars in the ratio of 8 : 5. If there were 60 more electric cars than saloon cars, how many sports cars were there?

Electric Cars	Family Cars	Saloon Cars	Sports Cars	Total Cars
2x13	3x13			5x13
	1x13	2x13		3x13
		8x2	5x2
26 u	13 u	16 u	10 u

The total number of saloon cars and sports cars is the combined repeated identity. Make the total number of saloon cars and sports cars the same. LCM of 2 and 13 is 26.

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

Number of more electric cars than saloon cars
= 26 u - 16 u
= 10 u

10 u = 60

1 u = 60 ÷ 10 = 6

Number of sports cars
= 10 u
= 10 x 6
= 60

Answer(s): 60