A grocer had the same number of persimmons, dragonfruits and starfruits at first. After 71 starfruits, some persimmons and dragonfruits were sold, there were 155 fruits left. There were five times as many persimmons as dragonfruits left. The number of starfruits left was 10 less than the number of persimmons. How many dragonfruits were sold?
| |
Persimmons |
Dragonfruits |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 71 |
|
| After |
5 u |
1 u |
5 u - 10 |
155 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 10
= 11 u - 10
11 u - 10 = 155
11 u = 155 + 10
11 u = 165
1 u = 165 ÷ 11 = 15
Number of starfruits at first
= 5 u - 10 + 71
= 5 x 15 - 10 + 71
= 75 - 10 + 71
= 136
The number of dragonfruits and starfruits at first was the same.
Number of dragonfruits sold
= 136 - 1 u
= 136 - 15
= 121
Answer(s): 121
