The ratio of family cars to the total number of cars on display in Ken's car shop was 3 : 8. ³₅ of the remaining cars on display were electric cars and the rest were saloon cars and sports cars in the ratio of 7 : 6. If there were 125 more family cars than saloon cars, how many sports cars were there?

Family Cars	Electric Cars	Saloon Cars	Sports Cars	Total Cars
3x13	5x13			8x13
	3x13	2x13		5x13
		7x2	6x2
39 u	39 u	14 u	12 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 electric cars, saloon cars and sports cars is the next combined repeated identity. Make the total number of electric cars, saloon cars and sports cars the same. LCM of 5 and 5 is 65. 

Number of more family cars than saloon cars
= 39 u - 14 u
= 25 u

25 u = 125

1 u = 125 ÷ 25 = 5

Number of sports cars
= 12 u
= 12 x 5
= 60

Answer(s): 60