Mr Oliver sold some passion fruits, persimmons and oranges. The ratio of the number of passion fruits sold to the total number of fruits sold was 2 : 9. The ratio of the number of persimmons sold to the number of oranges sold was 3 : 32. He sold 242 more oranges than passion fruits. Find the total number of fruits that he sold.
| Passion Fruits |
Persimmons |
Oranges |
Total |
| 2x5 |
7x5 |
9x5 |
| |
3 |
32 |
|
| 10 u |
3 u |
32 u |
45 u |
The total number of persimmons and oranges is repeated. Make the total number of persimmons and oranges the same. LCM of 7 and 35 is 35.
Number of more oranges than passion fruits
= 32 u - 10 u
= 22 u
22 u = 242
1 u = 242 ÷ 22 = 11
Total number of fruits that Mr Oliver sold
= 45 u
= 45 x 11
= 495
Answer(s): 495
