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 electric cars and saloon cars in the ratio of 9 : 2. If there were 36 more sports cars than electric cars, how many saloon cars were there?
Sports Cars |
Family Cars |
Electric Cars |
Saloon Cars |
Total Cars |
2x11 |
3x11 |
5x11 |
|
1x11 |
2x11 |
3x11 |
|
|
9x2 |
2x2 |
|
22 u |
11 u |
18 u |
4 u |
|
The total number of electric cars and saloon cars is the combined repeated identity. Make the total number of electric cars and saloon cars the same. LCM of 2 and 11 is 22.
The total number of family cars, electric cars and saloon cars is the next combined repeated identity. Make the total number of family cars, electric cars and saloon cars the same. LCM of 3 and 3 is 33.
Number of more sports cars than electric cars
= 22 u - 18 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Number of saloon cars
= 4 u
= 4 x 9
= 36
Answer(s): 36