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 family cars and the rest were saloon cars and sports cars in the ratio of 5 : 2. If there were 66 more electric cars than saloon cars, how many sports cars were there?

Electric Cars	Family Cars	Saloon Cars	Sports Cars	Total Cars
4x7	7x7			11x7
	2x7	5x7		7x7
		5x5	2x5
28 u	14 u	25 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 5 and 7 is 35.

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 7 and 7 is 49. 

Number of more electric cars than saloon cars
= 28 u - 25 u
= 3 u

3 u = 66

1 u = 66 ÷ 3 = 22

Number of sports cars
= 10 u
= 10 x 22
= 220

Answer(s): 220