A fruit seller had the same number of passion fruits, dragonfruits and kiwis at first. After 123 kiwis, some passion fruits and dragonfruits were taken out, there were 168 fruits left. There were twice as many passion fruits as dragonfruits left. The number of kiwis left was 32 less than the number of passion fruits. How many dragonfruits were taken out?
| |
Passion Fruits |
Dragonfruits |
Kiwis |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 123 |
|
| After |
2 u |
1 u |
2 u - 32 |
168 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 32
= 5 u - 32
5 u - 32 = 168
5 u = 168 + 32
5 u = 200
1 u = 200 ÷ 5 = 40
Number of kiwis at first
= 2 u - 32 + 123
= 2 x 40 - 32 + 123
= 80 - 32 + 123
= 171
The number of dragonfruits and kiwis at first was the same.
Number of dragonfruits taken out
= 171 - 1 u
= 171 - 40
= 131
Answer(s): 131
