The ratio of family 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 electric cars and the rest were sports cars and saloon cars in the ratio of 3 : 2. If there were 7 more family cars than sports cars, how many saloon cars were there?

Family Cars	Electric Cars	Sports Cars	Saloon Cars	Total Cars
2x5	5x5			7x5
	2x5	3x5		5x5
		3x3	2x3
10 u	10 u	9 u	6 u

The total number of sports cars and saloon cars is the combined repeated identity. Make the total number of sports cars and saloon cars the same. LCM of 3 and 5 is 15.

The total number of electric cars, sports cars and saloon cars is the next combined repeated identity. Make the total number of electric cars, sports cars and saloon cars the same. LCM of 5 and 5 is 25. 

Number of more family cars than sports cars
= 10 u - 9 u
= 1 u

1 u = 7

1 u = 7 ÷ 1 = 7

Number of saloon cars
= 6 u
= 6 x 7
= 42

Answer(s): 42