PSLEA fruit seller had an equal number of kiwis, dragonfruits and mangosteens at first. After 56 mangosteens, some kiwis and dragonfruits were sold, there were 146 fruits left. There were 2 times as many kiwis as dragonfruits left. The number of mangosteens left was 29 fewer than the number of kiwis left. How many dragonfruits were sold?
|
Kiwis |
Dragonfruits |
Mangosteens |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 56 |
|
After |
2 u |
1 u |
2 u - 29 |
146 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 29
= 5 u - 29
5 u - 29 = 146
5 u = 146 + 29
5 u = 175
1 u = 175 ÷ 5 = 35
Number of mangosteens at first
= 2 u - 29 + 56
= 2 x 35 + 27
= 97
The number of mangosteens and dragonfruits at first is the same.
Number of dragonfruits sold
= 97 - 35
= 62
Answer(s): 62