PSLEA grocer had an equal number of pears, dragonfruits and lemons at first. After 78 lemons, some pears and dragonfruits were sold, there were 109 fruits left. There were 2 times as many pears as dragonfruits left. The number of lemons left was 36 fewer than the number of pears left. How many dragonfruits were sold?
|
Pears |
Dragonfruits |
Lemons |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 78 |
|
After |
2 u |
1 u |
2 u - 36 |
109 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 36
= 5 u - 36
5 u - 36 = 109
5 u = 109 + 36
5 u = 145
1 u = 145 ÷ 5 = 29
Number of lemons at first
= 2 u - 36 + 78
= 2 x 29 + 42
= 100
The number of lemons and dragonfruits at first is the same.
Number of dragonfruits sold
= 100 - 29
= 71
Answer(s): 71