The ratio of sports 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 family cars and the rest were saloon cars and electric cars in the ratio of 7 : 4. If there were 176 more sports cars than saloon cars, how many electric cars were there?

Sports Cars	Family Cars	Saloon Cars	Electric Cars	Total Cars
2x11	3x11			5x11
	1x11	2x11		3x11
		7x2	4x2
22 u	11 u	14 u	8 u

The total number of saloon cars and electric cars is the combined repeated identity. Make the total number of saloon cars and electric cars the same. LCM of 2 and 11 is 22.

The total number of family cars, saloon cars and electric cars is the next combined repeated identity. Make the total number of family cars, saloon cars and electric cars the same. LCM of 3 and 3 is 33. 

Number of more sports cars than saloon cars
= 22 u - 14 u
= 8 u

8 u = 176

1 u = 176 ÷ 8 = 22

Number of electric cars
= 8 u
= 8 x 22
= 176

Answer(s): 176