Mr Cody sold some mangosteens, persimmons and pomegranates. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of persimmons sold to the number of pomegranates sold was 1 : 20. He sold 99 more pomegranates than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Persimmons |
Pomegranates |
Total |
| 3x3 |
7x3 |
10x3 |
| |
1 |
20 |
|
| 9 u |
1 u |
20 u |
30 u |
The total number of persimmons and pomegranates is repeated. Make the total number of persimmons and pomegranates the same. LCM of 7 and 21 is 21.
Number of more pomegranates than mangosteens
= 20 u - 9 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Total number of fruits that Mr Cody sold
= 30 u
= 30 x 9
= 270
Answer(s): 270
