The ratio of family cars to the total number of cars on display in Ken's car shop was 3 : 8. ²₅ of the remaining cars on display were electric cars and the rest were sports cars and saloon cars in the ratio of 7 : 4. If there were 204 more family cars than sports cars, how many saloon cars were there?

Family Cars	Electric Cars	Sports Cars	Saloon Cars	Total Cars
3x11	5x11			8x11
	2x11	3x11		5x11
		7x3	4x3
33 u	22 u	21 u	12 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 11 is 33.

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 55. 

Number of more family cars than sports cars
= 33 u - 21 u
= 12 u

12 u = 204

1 u = 204 ÷ 12 = 17

Number of saloon cars
= 12 u
= 12 x 17
= 204

Answer(s): 204