The ratio of sports cars to the total number of cars on display in Ken's car shop was 3 : 8. ³₅ of the remaining cars on display were saloon cars and the rest were family cars and electric cars in the ratio of 4 : 1. If there were 119 more sports cars than family cars, how many electric cars were there?

Sports Cars	Saloon Cars	Family Cars	Electric Cars	Total Cars
3x5	5x5			8x5
	3x5	2x5		5x5
		4x2	1x2
15 u	15 u	8 u	2 u

The total number of family cars and electric cars is the combined repeated identity. Make the total number of family cars and electric cars the same. LCM of 2 and 5 is 10.

The total number of saloon cars, family cars and electric cars is the next combined repeated identity. Make the total number of saloon cars, family cars and electric cars the same. LCM of 5 and 5 is 25. 

Number of more sports cars than family cars
= 15 u - 8 u
= 7 u

7 u = 119

1 u = 119 ÷ 7 = 17

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

Answer(s): 34