The ratio of family cars to the total number of cars on display in Ken's car shop was 3 : 10. ²₇ of the remaining cars on display were saloon cars and the rest were electric cars and sports cars in the ratio of 9 : 7. If there were 9 more family cars than electric cars, how many sports cars were there?

Family Cars	Saloon Cars	Electric Cars	Sports Cars	Total Cars
3x16	7x16			10x16
	2x16	5x16		7x16
		9x5	7x5
48 u	32 u	45 u	35 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 5 and 16 is 80.

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 112. 

Number of more family cars than electric cars
= 48 u - 45 u
= 3 u

3 u = 9

1 u = 9 ÷ 3 = 3

Number of sports cars
= 35 u
= 35 x 3
= 105

Answer(s): 105