Mr David sold some oranges, apples and pomegranates. The ratio of the number of oranges sold to the total number of fruits sold was 2 : 9. The ratio of the number of apples sold to the number of pomegranates sold was 6 : 29. He sold 190 more pomegranates than oranges. Find the total number of fruits that he sold.
| Oranges |
Apples |
Pomegranates |
Total |
| 2x5 |
7x5 |
9x5 |
| |
6 |
29 |
|
| 10 u |
6 u |
29 u |
45 u |
The total number of apples and pomegranates is repeated. Make the total number of apples and pomegranates the same. LCM of 7 and 35 is 35.
Number of more pomegranates than oranges
= 29 u - 10 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
Total number of fruits that Mr David sold
= 45 u
= 45 x 10
= 450
Answer(s): 450
