Mr Ian sold some starfruits, kiwis and apples. The ratio of the number of starfruits sold to the total number of fruits sold was 2 : 9. The ratio of the number of kiwis sold to the number of apples sold was 4 : 31. He sold 126 more apples than starfruits. Find the total number of fruits that he sold.
| Starfruits |
Kiwis |
Apples |
Total |
| 2x5 |
7x5 |
9x5 |
| |
4 |
31 |
|
| 10 u |
4 u |
31 u |
45 u |
The total number of kiwis and apples is repeated. Make the total number of kiwis and apples the same. LCM of 7 and 35 is 35.
Number of more apples than starfruits
= 31 u - 10 u
= 21 u
21 u = 126
1 u = 126 ÷ 21 = 6
Total number of fruits that Mr Ian sold
= 45 u
= 45 x 6
= 270
Answer(s): 270
