A grocer had the same number of lemons, starfruits and dragonfruits at first. After 95 dragonfruits, some lemons and starfruits were taken out, there were 135 fruits left. There were thrice as many lemons as starfruits left. The number of dragonfruits left was 12 fewer than the number of lemons. How many starfruits were taken out?
| |
Lemons |
Starfruits |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 95 |
|
| After |
3 u |
1 u |
3 u - 12 |
135 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 12
= 7 u - 12
7 u - 12 = 135
7 u = 135 + 12
7 u = 147
1 u = 147 ÷ 7 = 21
Number of dragonfruits at first
= 3 u - 12 + 95
= 3 x 21 - 12 + 95
= 63 - 12 + 95
= 146
The number of starfruits and dragonfruits at first was the same.
Number of starfruits taken out
= 146 - 1 u
= 146 - 21
= 125
Answer(s): 125
