A fruit seller had the same number of starfruits, passion fruits and dragonfruits at first. After 101 dragonfruits, some starfruits and passion fruits were thrown away, there were 123 fruits left. There were thrice as many starfruits as passion fruits left. The number of dragonfruits left was 31 fewer than the number of starfruits. How many passion fruits were thrown away?
| |
Starfruits |
Passion Fruits |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 101 |
|
| After |
3 u |
1 u |
3 u - 31 |
123 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 31
= 7 u - 31
7 u - 31 = 123
7 u = 123 + 31
7 u = 154
1 u = 154 ÷ 7 = 22
Number of dragonfruits at first
= 3 u - 31 + 101
= 3 x 22 - 31 + 101
= 66 - 31 + 101
= 136
The number of passion fruits and dragonfruits at first was the same.
Number of passion fruits thrown away
= 136 - 1 u
= 136 - 22
= 114
Answer(s): 114
