Mr Jack sold some persimmons, passion fruits and oranges. The ratio of the number of persimmons sold to the total number of fruits sold was 2 : 5. The ratio of the number of passion fruits sold to the number of oranges sold was 1 : 11. He sold 6 more oranges than persimmons. Find the total number of fruits that he sold.
| Persimmons |
Passion Fruits |
Oranges |
Total |
| 2x4 |
3x4 |
5x4 |
| |
1 |
11 |
|
| 8 u |
1 u |
11 u |
20 u |
The total number of passion fruits and oranges is repeated. Make the total number of passion fruits and oranges the same. LCM of 3 and 12 is 12.
Number of more oranges than persimmons
= 11 u - 8 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of fruits that Mr Jack sold
= 20 u
= 20 x 2
= 40
Answer(s): 40
