A store owner had the same number of guavas, passion fruits and lemons at first. After 48 lemons, some guavas and passion fruits were taken out, there were 189 fruits left. There were twice as many guavas as passion fruits left. The number of lemons left was 11 less than the number of guavas. How many passion fruits were taken out?
| |
Guavas |
Passion Fruits |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 48 |
|
| After |
2 u |
1 u |
2 u - 11 |
189 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 11
= 5 u - 11
5 u - 11 = 189
5 u = 189 + 11
5 u = 200
1 u = 200 ÷ 5 = 40
Number of lemons at first
= 2 u - 11 + 48
= 2 x 40 - 11 + 48
= 80 - 11 + 48
= 117
The number of passion fruits and lemons at first was the same.
Number of passion fruits taken out
= 117 - 1 u
= 117 - 40
= 77
Answer(s): 77
