Mr Oscar sold some pears, passion fruits and persimmons. The ratio of the number of pears sold to the total number of fruits sold was 2 : 9. The ratio of the number of passion fruits sold to the number of persimmons sold was 5 : 9. He sold 30 more persimmons than pears. Find the total number of fruits that he sold.
| Pears |
Passion Fruits |
Persimmons |
Total |
| 2x2 |
7x2 |
9x2 |
| |
5 |
9 |
|
| 4 u |
5 u |
9 u |
18 u |
The total number of passion fruits and persimmons is repeated. Make the total number of passion fruits and persimmons the same. LCM of 7 and 14 is 14.
Number of more persimmons than pears
= 9 u - 4 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of fruits that Mr Oscar sold
= 18 u
= 18 x 6
= 108
Answer(s): 108
