The ratio of sports cars to the total number of cars on display in Ken's car shop was 4 : 7. ¹₃ of the remaining cars on display were saloon cars and the rest were electric cars and family cars in the ratio of 4 : 3. If there were 360 more sports cars than electric cars, how many family cars were there?

Sports Cars	Saloon Cars	Electric Cars	Family Cars	Total Cars
4x7	3x7			7x7
	1x7	2x7		3x7
		4x2	3x2
28 u	7 u	8 u	6 u

The total number of electric cars and family cars is the combined repeated identity. Make the total number of electric cars and family cars the same. LCM of 2 and 7 is 14.

The total number of saloon cars, electric cars and family cars is the next combined repeated identity. Make the total number of saloon cars, electric cars and family cars the same. LCM of 3 and 3 is 21. 

Number of more sports cars than electric cars
= 28 u - 8 u
= 20 u

20 u = 360

1 u = 360 ÷ 20 = 18

Number of family cars
= 6 u
= 6 x 18
= 108

Answer(s): 108