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 sports cars and the rest were electric cars and saloon cars in the ratio of 5 : 2. If there were 114 more family cars than electric cars, how many saloon cars were there?

Family Cars	Sports Cars	Electric Cars	Saloon Cars	Total Cars
3x7	5x7			8x7
	2x7	3x7		5x7
		5x3	2x3
21 u	14 u	15 u	6 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 7 is 21.

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 35. 

Number of more family cars than electric cars
= 21 u - 15 u
= 6 u

6 u = 114

1 u = 114 ÷ 6 = 19

Number of saloon cars
= 6 u
= 6 x 19
= 114

Answer(s): 114