Mr Paul sold some starfruits, persimmons and lemons. The ratio of the number of starfruits sold to the total number of fruits sold was 4 : 9. The ratio of the number of persimmons sold to the number of lemons sold was 1 : 19. He sold 36 more lemons than starfruits. Find the total number of fruits that he sold.
| Starfruits |
Persimmons |
Lemons |
Total |
| 4x4 |
5x4 |
9x4 |
| |
1 |
19 |
|
| 16 u |
1 u |
19 u |
36 u |
The total number of persimmons and lemons is repeated. Make the total number of persimmons and lemons the same. LCM of 5 and 20 is 20.
Number of more lemons than starfruits
= 19 u - 16 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Total number of fruits that Mr Paul sold
= 36 u
= 36 x 12
= 432
Answer(s): 432
