The ratio of family cars to the total number of cars on display in Ken's car shop was 4 : 11. ⁴₇ of the remaining cars on display were saloon cars and the rest were electric cars and sports cars in the ratio of 5 : 3. If there were 221 more family cars than electric cars, how many sports cars were there?

Family Cars	Saloon Cars	Electric Cars	Sports Cars	Total Cars
4x8	7x8			11x8
	4x8	3x8		7x8
		5x3	3x3
32 u	32 u	15 u	9 u

The total number of electric cars and sports cars is the combined repeated identity. Make the total number of electric cars and sports cars the same. LCM of 3 and 8 is 24.

The total number of saloon cars, electric cars and sports cars is the next combined repeated identity. Make the total number of saloon cars, electric cars and sports cars the same. LCM of 7 and 7 is 56. 

Number of more family cars than electric cars
= 32 u - 15 u
= 17 u

17 u = 221

1 u = 221 ÷ 17 = 13

Number of sports cars
= 9 u
= 9 x 13
= 117

Answer(s): 117