A stallholder had the same number of guavas, dragonfruits and pears at first. After 48 pears, some guavas and dragonfruits were taken out, there were 106 fruits left. There were twice as many guavas as dragonfruits left. The number of pears left was 24 fewer than the number of guavas. How many dragonfruits were taken out?
| |
Guavas |
Dragonfruits |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 48 |
|
| After |
2 u |
1 u |
2 u - 24 |
106 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 24
= 5 u - 24
5 u - 24 = 106
5 u = 106 + 24
5 u = 130
1 u = 130 ÷ 5 = 26
Number of pears at first
= 2 u - 24 + 48
= 2 x 26 - 24 + 48
= 52 - 24 + 48
= 76
The number of dragonfruits and pears at first was the same.
Number of dragonfruits taken out
= 76 - 1 u
= 76 - 26
= 50
Answer(s): 50
