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 sports cars and the rest were electric cars and saloon cars in the ratio of 7 : 4. If there were 13 more family cars than electric cars, how many saloon cars were there?

Family Cars	Sports Cars	Electric Cars	Saloon Cars	Total Cars
2x11	5x11			7x11
	2x11	3x11		5x11
		7x3	4x3
22 u	22 u	21 u	12 u

The total number of electric cars and saloon cars is the combined repeated identity. Make the total number of electric cars and saloon cars the same. LCM of 3 and 11 is 33.

The total number of sports cars, electric cars and saloon cars is the next combined repeated identity. Make the total number of sports cars, electric cars and saloon cars the same. LCM of 5 and 5 is 55. 

Number of more family cars than electric cars
= 22 u - 21 u
= 1 u

1 u = 13

1 u = 13 ÷ 1 = 13

Number of saloon cars
= 12 u
= 12 x 13
= 156

Answer(s): 156