Mr Liam sold some mangosteens, passion fruits and starfruits. The ratio of the number of mangosteens sold to the total number of fruits sold was 2 : 5. The ratio of the number of passion fruits sold to the number of starfruits sold was 2 : 13. He sold 18 more starfruits than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Passion Fruits |
Starfruits |
Total |
| 2x5 |
3x5 |
5x5 |
| |
2 |
13 |
|
| 10 u |
2 u |
13 u |
25 u |
The total number of passion fruits and starfruits is repeated. Make the total number of passion fruits and starfruits the same. LCM of 3 and 15 is 15.
Number of more starfruits than mangosteens
= 13 u - 10 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of fruits that Mr Liam sold
= 25 u
= 25 x 6
= 150
Answer(s): 150
