A stallholder had the same number of dragonfruits, passion fruits and guavas at first. After 71 guavas, some dragonfruits and passion fruits were removed, there were 144 fruits left. There were five times as many dragonfruits as passion fruits left. The number of guavas left was 21 less than the number of dragonfruits. How many passion fruits were removed?
| |
Dragonfruits |
Passion Fruits |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 71 |
|
| After |
5 u |
1 u |
5 u - 21 |
144 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 21
= 11 u - 21
11 u - 21 = 144
11 u = 144 + 21
11 u = 165
1 u = 165 ÷ 11 = 15
Number of guavas at first
= 5 u - 21 + 71
= 5 x 15 - 21 + 71
= 75 - 21 + 71
= 125
The number of passion fruits and guavas at first was the same.
Number of passion fruits removed
= 125 - 1 u
= 125 - 15
= 110
Answer(s): 110
