Mr Archie sold some kiwis, starfruits and persimmons. The ratio of the number of kiwis sold to the total number of fruits sold was 2 : 9. The ratio of the number of starfruits sold to the number of persimmons sold was 5 : 23. He sold 105 more persimmons than kiwis. Find the total number of fruits that he sold.
| Kiwis |
Starfruits |
Persimmons |
Total |
| 2x4 |
7x4 |
9x4 |
| |
5 |
23 |
|
| 8 u |
5 u |
23 u |
36 u |
The total number of starfruits and persimmons is repeated. Make the total number of starfruits and persimmons the same. LCM of 7 and 28 is 28.
Number of more persimmons than kiwis
= 23 u - 8 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Total number of fruits that Mr Archie sold
= 36 u
= 36 x 7
= 252
Answer(s): 252
