PSLEA grocer had the same number of dragonfruits, mangosteens and pears at first. After 50 pears, some dragonfruits and mangosteens were sold, there were 79 fruits left. There were 3 times as many dragonfruits as mangosteens left. The number of pears left was 26 less than the number of dragonfruits left. How many mangosteens were sold?
|
Dragonfruits |
Mangosteens |
Pears |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 50 |
|
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 pears at first
= 3 u - 26 + 50
= 3 x 15 + 24
= 69
The number of pears and mangosteens at first is the same.
Number of mangosteens sold
= 69 - 15
= 54
Answer(s): 54