Mr Ethan sold some oranges, persimmons and mangosteens. The ratio of the number of oranges sold to the total number of fruits sold was 2 : 9. The ratio of the number of persimmons sold to the number of mangosteens sold was 3 : 25. He sold 153 more mangosteens than oranges. Find the total number of fruits that he sold.
| Oranges |
Persimmons |
Mangosteens |
Total |
| 2x4 |
7x4 |
9x4 |
| |
3 |
25 |
|
| 8 u |
3 u |
25 u |
36 u |
The total number of persimmons and mangosteens is repeated. Make the total number of persimmons and mangosteens the same. LCM of 7 and 28 is 28.
Number of more mangosteens than oranges
= 25 u - 8 u
= 17 u
17 u = 153
1 u = 153 ÷ 17 = 9
Total number of fruits that Mr Ethan sold
= 36 u
= 36 x 9
= 324
Answer(s): 324
