The ratio of family cars to the total number of cars on display in Ken's car shop was 4 : 11. ²₇ of the remaining cars on display were sports cars and the rest were saloon cars and electric cars in the ratio of 8 : 5. If there were 84 more family cars than saloon cars, how many electric cars were there?

Family Cars	Sports Cars	Saloon Cars	Electric Cars	Total Cars
4x13	7x13			11x13
	2x13	5x13		7x13
		8x5	5x5
52 u	26 u	40 u	25 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 5 and 13 is 65.

The total number of sports cars, saloon cars and electric cars is the next combined repeated identity. Make the total number of sports cars, saloon cars and electric cars the same. LCM of 7 and 7 is 91. 

Number of more family cars than saloon cars
= 52 u - 40 u
= 12 u

12 u = 84

1 u = 84 ÷ 12 = 7

Number of electric cars
= 25 u
= 25 x 7
= 175

Answer(s): 175