Mr Glen sold some pomegranates, passion fruits 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 passion fruits sold to the number of oranges sold was 6 : 29. He sold 28 more oranges than pomegranates. Find the total number of fruits that he sold.
| Pomegranates |
Passion Fruits |
Oranges |
Total |
| 3x5 |
7x5 |
10x5 |
| |
6 |
29 |
|
| 15 u |
6 u |
29 u |
50 u |
The total number of passion fruits and oranges is repeated. Make the total number of passion fruits 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 = 28
1 u = 28 ÷ 14 = 2
Total number of fruits that Mr Glen sold
= 50 u
= 50 x 2
= 100
Answer(s): 100
