A stallholder had the same number of grapefruits, dragonfruits and starfruits at first. After 68 starfruits, some grapefruits and dragonfruits were removed, there were 95 fruits left. There were twice as many grapefruits as dragonfruits left. The number of starfruits left was 20 fewer than the number of grapefruits. How many dragonfruits were removed?
| |
Grapefruits |
Dragonfruits |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 68 |
|
| After |
2 u |
1 u |
2 u - 20 |
95 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 20
= 5 u - 20
5 u - 20 = 95
5 u = 95 + 20
5 u = 115
1 u = 115 ÷ 5 = 23
Number of starfruits at first
= 2 u - 20 + 68
= 2 x 23 - 20 + 68
= 46 - 20 + 68
= 94
The number of dragonfruits and starfruits at first was the same.
Number of dragonfruits removed
= 94 - 1 u
= 94 - 23
= 71
Answer(s): 71
