The ratio of sports cars to the total number of cars on display in Ken's car shop was 3 : 10. ⁴₇ of the remaining cars on display were family cars and the rest were electric cars and saloon cars in the ratio of 10 : 9. If there were 243 more sports cars than electric cars, how many saloon cars were there?

Sports Cars	Family Cars	Electric Cars	Saloon Cars	Total Cars
3x19	7x19			10x19
	4x19	3x19		7x19
		10x3	9x3
57 u	76 u	30 u	27 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 19 is 57.

The total number of family cars, electric cars and saloon cars is the next combined repeated identity. Make the total number of family cars, electric cars and saloon cars the same. LCM of 7 and 7 is 133. 

Number of more sports cars than electric cars
= 57 u - 30 u
= 27 u

27 u = 243

1 u = 243 ÷ 27 = 9

Number of saloon cars
= 27 u
= 27 x 9
= 243

Answer(s): 243