Mr Jeremy sold some starfruits, pears and passion fruits. The ratio of the number of starfruits sold to the total number of fruits sold was 2 : 9. The ratio of the number of pears sold to the number of passion fruits sold was 1 : 27. He sold 171 more passion fruits than starfruits. Find the total number of fruits that he sold.
| Starfruits |
Pears |
Passion Fruits |
Total |
| 2x4 |
7x4 |
9x4 |
| |
1 |
27 |
|
| 8 u |
1 u |
27 u |
36 u |
The total number of pears and passion fruits is repeated. Make the total number of pears and passion fruits the same. LCM of 7 and 28 is 28.
Number of more passion fruits than starfruits
= 27 u - 8 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
Total number of fruits that Mr Jeremy sold
= 36 u
= 36 x 9
= 324
Answer(s): 324
