Mr Neave sold some pomegranates, mangosteens and oranges. The ratio of the number of pomegranates sold to the total number of fruits sold was 3 : 10. The ratio of the number of mangosteens sold to the number of oranges sold was 6 : 29. He sold 70 more oranges than pomegranates. Find the total number of fruits that he sold.
| Pomegranates |
Mangosteens |
Oranges |
Total |
| 3x5 |
7x5 |
10x5 |
| |
6 |
29 |
|
| 15 u |
6 u |
29 u |
50 u |
The total number of mangosteens and oranges is repeated. Make the total number of mangosteens and oranges the same. LCM of 7 and 35 is 35.
Number of more oranges than pomegranates
= 29 u - 15 u
= 14 u
14 u = 70
1 u = 70 ÷ 14 = 5
Total number of fruits that Mr Neave sold
= 50 u
= 50 x 5
= 250
Answer(s): 250
