The ratio of electric cars to the total number of cars on display in Ken's car shop was 7 : 10. ¹₃ of the remaining cars on display were sports cars and the rest were family cars and saloon cars in the ratio of 8 : 7. If there were 1869 more electric cars than family cars, how many saloon cars were there?

Electric Cars	Sports Cars	Family Cars	Saloon Cars	Total Cars
7x15	3x15			10x15
	1x15	2x15		3x15
		8x2	7x2
105 u	15 u	16 u	14 u

The total number of family cars and saloon cars is the combined repeated identity. Make the total number of family cars and saloon cars the same. LCM of 2 and 15 is 30.

The total number of sports cars, family cars and saloon cars is the next combined repeated identity. Make the total number of sports cars, family cars and saloon cars the same. LCM of 3 and 3 is 45. 

Number of more electric cars than family cars
= 105 u - 16 u
= 89 u

89 u = 1869

1 u = 1869 ÷ 89 = 21

Number of saloon cars
= 14 u
= 14 x 21
= 294

Answer(s): 294