Mr David sold some lemons, starfruits and oranges. The ratio of the number of lemons sold to the total number of fruits sold was 2 : 7. The ratio of the number of starfruits sold to the number of oranges sold was 1 : 9. He sold 15 more oranges than lemons. Find the total number of fruits that he sold.
| Lemons |
Starfruits |
Oranges |
Total |
| 2x2 |
5x2 |
7x2 |
| |
1 |
9 |
|
| 4 u |
1 u |
9 u |
14 u |
The total number of starfruits and oranges is repeated. Make the total number of starfruits and oranges the same. LCM of 5 and 10 is 10.
Number of more oranges than lemons
= 9 u - 4 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of fruits that Mr David sold
= 14 u
= 14 x 3
= 42
Answer(s): 42
