PSLEA stallholder had an equal number of dragonfruits, lemons and starfruits at first. After 55 starfruits, some dragonfruits and lemons were sold, there were 91 fruits left. There were 4 times as many dragonfruits as lemons left. The number of starfruits left was 17 less than the number of dragonfruits left. How many lemons were sold?
|
Dragonfruits |
Lemons |
Starfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 55 |
|
After |
4 u |
1 u |
4 u - 17 |
91 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 17
= 9 u - 17
9 u - 17 = 91
9 u = 91 + 17
9 u = 108
1 u = 108 ÷ 9 = 12
Number of starfruits at first
= 4 u - 17 + 55
= 4 x 12 + 38
= 86
The number of starfruits and lemons at first is the same.
Number of lemons sold
= 86 - 12
= 74
Answer(s): 74