Mr Nick sold some mangosteens, starfruits and passion fruits. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 8. The ratio of the number of starfruits sold to the number of passion fruits sold was 1 : 24. He sold 27 more passion fruits than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Starfruits |
Passion Fruits |
Total |
| 3x5 |
5x5 |
8x5 |
| |
1 |
24 |
|
| 15 u |
1 u |
24 u |
40 u |
The total number of starfruits and passion fruits is repeated. Make the total number of starfruits and passion fruits the same. LCM of 5 and 25 is 25.
Number of more passion fruits than mangosteens
= 24 u - 15 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Total number of fruits that Mr Nick sold
= 40 u
= 40 x 3
= 120
Answer(s): 120
