Mr Tommy sold some apples, persimmons and pears. The ratio of the number of apples sold to the total number of fruits sold was 2 : 5. The ratio of the number of persimmons sold to the number of pears sold was 1 : 8. He sold 14 more pears than apples. Find the total number of fruits that he sold.
| Apples |
Persimmons |
Pears |
Total |
| 2x3 |
3x3 |
5x3 |
| |
1 |
8 |
|
| 6 u |
1 u |
8 u |
15 u |
The total number of persimmons and pears is repeated. Make the total number of persimmons and pears the same. LCM of 3 and 9 is 9.
Number of more pears than apples
= 8 u - 6 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Total number of fruits that Mr Tommy sold
= 15 u
= 15 x 7
= 105
Answer(s): 105
