PSLEA grocer had the same number of pomegranates, mangosteens and dragonfruits at first. After 76 dragonfruits, some pomegranates and mangosteens were sold, there were 79 fruits left. There were 3 times as many pomegranates as mangosteens left. The number of dragonfruits left was 26 less than the number of pomegranates left. How many mangosteens were sold?
|
Pomegranates |
Mangosteens |
Dragonfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 76 |
|
After |
3 u |
1 u |
3 u - 26 |
79 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 26
= 7 u - 26
7 u - 26 = 79
7 u = 79 + 26
7 u = 105
1 u = 105 ÷ 7 = 15
Number of dragonfruits at first
= 3 u - 26 + 76
= 3 x 15 + 50
= 95
The number of dragonfruits and mangosteens at first is the same.
Number of mangosteens sold
= 95 - 15
= 80
Answer(s): 80