A fruit seller had the same number of kiwis, persimmons and dragonfruits at first. After 38 dragonfruits, some kiwis and persimmons were sold, there were 114 fruits left. There were four times as many kiwis as persimmons left. The number of dragonfruits left was 12 fewer than the number of kiwis. How many persimmons were sold?
| |
Kiwis |
Persimmons |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 38 |
|
| After |
4 u |
1 u |
4 u - 12 |
114 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 12
= 9 u - 12
9 u - 12 = 114
9 u = 114 + 12
9 u = 126
1 u = 126 ÷ 9 = 14
Number of dragonfruits at first
= 4 u - 12 + 38
= 4 x 14 - 12 + 38
= 56 - 12 + 38
= 82
The number of persimmons and dragonfruits at first was the same.
Number of persimmons sold
= 82 - 1 u
= 82 - 14
= 68
Answer(s): 68
