A stallholder had the same number of dragonfruits, starfruits and persimmons at first. After 102 persimmons, some dragonfruits and starfruits were sold, there were 194 fruits left. There were thrice as many dragonfruits as starfruits left. The number of persimmons left was 16 fewer than the number of dragonfruits. How many starfruits were sold?
| |
Dragonfruits |
Starfruits |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 102 |
|
| After |
3 u |
1 u |
3 u - 16 |
194 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 16
= 7 u - 16
7 u - 16 = 194
7 u = 194 + 16
7 u = 210
1 u = 210 ÷ 7 = 30
Number of persimmons at first
= 3 u - 16 + 102
= 3 x 30 - 16 + 102
= 90 - 16 + 102
= 176
The number of starfruits and persimmons at first was the same.
Number of starfruits sold
= 176 - 1 u
= 176 - 30
= 146
Answer(s): 146
