The ratio of family cars to the total number of cars on display in Ken's car shop was 3 : 10.
47 of the remaining cars on display were electric cars and the rest were saloon cars and sports cars in the ratio of 5 : 3. If there were 45 more family cars than saloon cars, how many sports cars were there?
Family Cars |
Electric Cars |
Saloon Cars |
Sports Cars |
Total Cars |
3x8 |
7x8 |
10x8 |
|
4x8 |
3x8 |
7x8 |
|
|
5x3 |
3x3 |
|
24 u |
32 u |
15 u |
9 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 3 and 8 is 24.
The total number of electric cars, saloon cars and sports cars is the next combined repeated identity. Make the total number of electric cars, saloon cars and sports cars the same. LCM of 7 and 7 is 56.
Number of more family cars than saloon cars
= 24 u - 15 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of sports cars
= 9 u
= 9 x 5
= 45
Answer(s): 45