A fruit seller had the same number of starfruits, passion fruits and lemons at first. After 50 lemons, some starfruits and passion fruits were removed, there were 109 fruits left. There were thrice as many starfruits as passion fruits left. The number of lemons left was 38 fewer than the number of starfruits. How many passion fruits were removed?
| |
Starfruits |
Passion Fruits |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 50 |
|
| After |
3 u |
1 u |
3 u - 38 |
109 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 38
= 7 u - 38
7 u - 38 = 109
7 u = 109 + 38
7 u = 147
1 u = 147 ÷ 7 = 21
Number of lemons at first
= 3 u - 38 + 50
= 3 x 21 - 38 + 50
= 63 - 38 + 50
= 75
The number of passion fruits and lemons at first was the same.
Number of passion fruits removed
= 75 - 1 u
= 75 - 21
= 54
Answer(s): 54
