The ratio of family cars to the total number of cars on display in Ken's car shop was 2 : 5. ¹₃ of the remaining cars on display were saloon cars and the rest were sports cars and electric cars in the ratio of 2 : 1. If there were 34 more family cars than sports cars, how many electric cars were there?

Family Cars	Saloon Cars	Sports Cars	Electric Cars	Total Cars
2x3	3x3			5x3
	1x3	2x3		3x3
		2x2	1x2
6 u	3 u	4 u	2 u

The total number of sports cars and electric cars is the combined repeated identity. Make the total number of sports cars and electric cars the same. LCM of 2 and 3 is 6.

The total number of saloon cars, sports cars and electric cars is the next combined repeated identity. Make the total number of saloon cars, sports cars and electric cars the same. LCM of 3 and 3 is 9. 

Number of more family cars than sports cars
= 6 u - 4 u
= 2 u

2 u = 34

1 u = 34 ÷ 2 = 17

Number of electric cars
= 2 u
= 2 x 17
= 34

Answer(s): 34