Mr Pierre sold some mangosteens, persimmons and oranges. The ratio of the number of mangosteens 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 5 : 16. He sold 110 more oranges than mangosteens. Find the total number of fruits that he sold.
| Mangosteens |
Persimmons |
Oranges |
Total |
| 2x3 |
7x3 |
9x3 |
| |
5 |
16 |
|
| 6 u |
5 u |
16 u |
27 u |
The total number of persimmons and oranges is repeated. Make the total number of persimmons and oranges the same. LCM of 7 and 21 is 21.
Number of more oranges than mangosteens
= 16 u - 6 u
= 10 u
10 u = 110
1 u = 110 ÷ 10 = 11
Total number of fruits that Mr Pierre sold
= 27 u
= 27 x 11
= 297
Answer(s): 297
