Mr Vincent sold some starfruits, apples and pomegranates. The ratio of the number of starfruits sold to the total number of fruits sold was 4 : 9. The ratio of the number of apples sold to the number of pomegranates sold was 1 : 19. He sold 30 more pomegranates than starfruits. Find the total number of fruits that he sold.
| Starfruits |
Apples |
Pomegranates |
Total |
| 4x4 |
5x4 |
9x4 |
| |
1 |
19 |
|
| 16 u |
1 u |
19 u |
36 u |
The total number of apples and pomegranates is repeated. Make the total number of apples and pomegranates the same. LCM of 5 and 20 is 20.
Number of more pomegranates than starfruits
= 19 u - 16 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of fruits that Mr Vincent sold
= 36 u
= 36 x 10
= 360
Answer(s): 360
