The ratio of family 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 sports cars and the rest were saloon cars and electric cars in the ratio of 10 : 3. If there were 126 more family cars than saloon cars, how many electric cars were there?
Family Cars |
Sports Cars |
Saloon Cars |
Electric Cars |
Total Cars |
2x13 |
3x13 |
5x13 |
|
1x13 |
2x13 |
3x13 |
|
|
10x2 |
3x2 |
|
26 u |
13 u |
20 u |
6 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 2 and 13 is 26.
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 3 and 3 is 39.
Number of more family cars than saloon cars
= 26 u - 20 u
= 6 u
6 u = 126
1 u = 126 ÷ 6 = 21
Number of electric cars
= 6 u
= 6 x 21
= 126
Answer(s): 126