Mr Tim sold some kiwis, passion fruits and oranges. The ratio of the number of kiwis sold to the total number of fruits sold was 2 : 7. The ratio of the number of passion fruits sold to the number of oranges sold was 3 : 7. He sold 18 more oranges than kiwis. Find the total number of fruits that he sold.
| Kiwis |
Passion Fruits |
Oranges |
Total |
| 2x2 |
5x2 |
7x2 |
| |
3 |
7 |
|
| 4 u |
3 u |
7 u |
14 u |
The total number of passion fruits and oranges is repeated. Make the total number of passion fruits and oranges the same. LCM of 5 and 10 is 10.
Number of more oranges than kiwis
= 7 u - 4 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of fruits that Mr Tim sold
= 14 u
= 14 x 6
= 84
Answer(s): 84
