The ratio of electric cars to the total number of cars on display in Ken's car shop was 2 : 7. ²₅ of the remaining cars on display were family cars and the rest were saloon cars and sports cars in the ratio of 4 : 3. If there were 32 more electric cars than saloon cars, how many sports cars were there?

Electric Cars	Family Cars	Saloon Cars	Sports Cars	Total Cars
2x7	5x7			7x7
	2x7	3x7		5x7
		4x3	3x3
14 u	14 u	12 u	9 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 3 and 7 is 21.

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 5 and 5 is 35. 

Number of more electric cars than saloon cars
= 14 u - 12 u
= 2 u

2 u = 32

1 u = 32 ÷ 2 = 16

Number of sports cars
= 9 u
= 9 x 16
= 144

Answer(s): 144