A stallholder had the same number of dragonfruits, mangoes and starfruits at first. After 71 starfruits, some dragonfruits and mangoes were removed, there were 168 fruits left. There were twice as many dragonfruits as mangoes left. The number of starfruits left was 27 less than the number of dragonfruits. How many mangoes were removed?
| |
Dragonfruits |
Mangoes |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 71 |
|
| After |
2 u |
1 u |
2 u - 27 |
168 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 27
= 5 u - 27
5 u - 27 = 168
5 u = 168 + 27
5 u = 195
1 u = 195 ÷ 5 = 39
Number of starfruits at first
= 2 u - 27 + 71
= 2 x 39 - 27 + 71
= 78 - 27 + 71
= 122
The number of mangoes and starfruits at first was the same.
Number of mangoes removed
= 122 - 1 u
= 122 - 39
= 83
Answer(s): 83
