A store owner had the same number of kiwis, passion fruits and grapefruits at first. After 106 grapefruits, some kiwis and passion fruits were taken out, there were 154 fruits left. There were twice as many kiwis as passion fruits left. The number of grapefruits left was 11 less than the number of kiwis. How many passion fruits were taken out?
| |
Kiwis |
Passion Fruits |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 106 |
|
| After |
2 u |
1 u |
2 u - 11 |
154 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 11
= 5 u - 11
5 u - 11 = 154
5 u = 154 + 11
5 u = 165
1 u = 165 ÷ 5 = 33
Number of grapefruits at first
= 2 u - 11 + 106
= 2 x 33 - 11 + 106
= 66 - 11 + 106
= 161
The number of passion fruits and grapefruits at first was the same.
Number of passion fruits taken out
= 161 - 1 u
= 161 - 33
= 128
Answer(s): 128
