The ratio of saloon 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 family cars and the rest were sports cars and electric cars in the ratio of 9 : 4. If there were 140 more saloon cars than sports cars, how many electric cars were there?
Saloon Cars |
Family Cars |
Sports Cars |
Electric Cars |
Total Cars |
4x13 |
7x13 |
11x13 |
|
2x13 |
5x13 |
7x13 |
|
|
9x5 |
4x5 |
|
52 u |
26 u |
45 u |
20 u |
|
The total number of sports cars and electric cars is the combined repeated identity. Make the total number of sports cars and electric cars the same. LCM of 5 and 13 is 65.
The total number of family cars, sports cars and electric cars is the next combined repeated identity. Make the total number of family cars, sports cars and electric cars the same. LCM of 7 and 7 is 91.
Number of more saloon cars than sports cars
= 52 u - 45 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Number of electric cars
= 20 u
= 20 x 20
= 400
Answer(s): 400