A grocer had the same number of kiwis, dragonfruits and persimmons at first. After 86 persimmons, some kiwis and dragonfruits were set aside, there were 143 fruits left. There were five times as many kiwis as dragonfruits left. The number of persimmons left was 33 less than the number of kiwis. How many dragonfruits were set aside?
| |
Kiwis |
Dragonfruits |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 86 |
|
| After |
5 u |
1 u |
5 u - 33 |
143 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 33
= 11 u - 33
11 u - 33 = 143
11 u = 143 + 33
11 u = 176
1 u = 176 ÷ 11 = 16
Number of persimmons at first
= 5 u - 33 + 86
= 5 x 16 - 33 + 86
= 80 - 33 + 86
= 133
The number of dragonfruits and persimmons at first was the same.
Number of dragonfruits set aside
= 133 - 1 u
= 133 - 16
= 117
Answer(s): 117
