Mr Billy sold some pears, persimmons and pomegranates. The ratio of the number of pears sold to the total number of fruits sold was 2 : 5. The ratio of the number of persimmons sold to the number of pomegranates sold was 1 : 14. He sold 44 more pomegranates than pears. Find the total number of fruits that he sold.
| Pears |
Persimmons |
Pomegranates |
Total |
| 2x5 |
3x5 |
5x5 |
| |
1 |
14 |
|
| 10 u |
1 u |
14 u |
25 u |
The total number of persimmons and pomegranates is repeated. Make the total number of persimmons and pomegranates the same. LCM of 3 and 15 is 15.
Number of more pomegranates than pears
= 14 u - 10 u
= 4 u
4 u = 44
1 u = 44 ÷ 4 = 11
Total number of fruits that Mr Billy sold
= 25 u
= 25 x 11
= 275
Answer(s): 275
