The ratio of family cars to the total number of cars on display in Ken's car shop was 4 : 11. ⁴₇ of the remaining cars on display were electric cars and the rest were sports cars and saloon cars in the ratio of 9 : 5. If there were 116 more family cars than sports cars, how many saloon cars were there?

Family Cars	Electric Cars	Sports Cars	Saloon Cars	Total Cars
4x14	7x14			11x14
	4x14	3x14		7x14
		9x3	5x3
56 u	56 u	27 u	15 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 14 is 42.

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 7 and 7 is 98. 

Number of more family cars than sports cars
= 56 u - 27 u
= 29 u

29 u = 116

1 u = 116 ÷ 29 = 4

Number of saloon cars
= 15 u
= 15 x 4
= 60

Answer(s): 60