The ratio of electric cars to the total number of cars on display in Ken's car shop was 2 : 7.
35 of the remaining cars on display were family cars and the rest were saloon cars and sports cars in the ratio of 6 : 5. If there were 50 more electric cars than saloon cars, how many sports cars were there?
Electric Cars |
Family Cars |
Saloon Cars |
Sports Cars |
Total Cars |
2x11 |
5x11 |
7x11 |
|
3x11 |
2x11 |
5x11 |
|
|
6x2 |
5x2 |
|
22 u |
33 u |
12 u |
10 u |
|
The total number of saloon cars and sports cars is the combined repeated identity. Make the total number of saloon cars and sports cars the same. LCM of 2 and 11 is 22.
The total number of family cars, saloon cars and sports cars is the next combined repeated identity. Make the total number of family cars, saloon cars and sports cars the same. LCM of 5 and 5 is 55.
Number of more electric cars than saloon cars
= 22 u - 12 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Number of sports cars
= 10 u
= 10 x 5
= 50
Answer(s): 50