The ratio of electric cars to the total number of cars on display in Ken's car shop was 2 : 7. ³₅ of the remaining cars on display were sports cars and the rest were family cars and saloon cars in the ratio of 5 : 4. If there were 56 more electric cars than family cars, how many saloon cars were there?

Electric Cars	Sports Cars	Family Cars	Saloon Cars	Total Cars
2x9	5x9			7x9
	3x9	2x9		5x9
		5x2	4x2
18 u	27 u	10 u	8 u

The total number of family cars and saloon cars is the combined repeated identity. Make the total number of family cars and saloon cars the same. LCM of 2 and 9 is 18.

The total number of sports cars, family cars and saloon cars is the next combined repeated identity. Make the total number of sports cars, family cars and saloon cars the same. LCM of 5 and 5 is 45. 

Number of more electric cars than family cars
= 18 u - 10 u
= 8 u

8 u = 56

1 u = 56 ÷ 8 = 7

Number of saloon cars
= 8 u
= 8 x 7
= 56

Answer(s): 56